101414100 has 72 divisors (see below), whose sum is σ = 296418528. Its totient is φ = 26768000.

The previous prime is 101414099. The next prime is 101414101. The reversal of 101414100 is 1414101.

It is an interprime number because it is at equal distance from previous prime (101414099) and next prime (101414101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28627 + ... + 31973.

It is an arithmetic number, because the mean of its divisors is an integer number (4116924).

Almost surely, 2^101414100 is an apocalyptic number.

101414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148209264).

101414100 is an abundant number, since it is smaller than the sum of its proper divisors (195004428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101414100 is a wasteful number, since it uses less digits than its factorization.

101414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101414100 is about 10070.4567920229. The cubic root of 101414100 is about 466.3365408964.

Adding to 101414100 its reverse (1414101), we get a palindrome (102828201).

Subtracting from 101414100 its reverse (1414101), we obtain a palindrome (99999999).

It can be divided in two parts, 10141 and 4100, that added together give a palindrome (14241).

The spelling of 101414100 in words is "one hundred one million, four hundred fourteen thousand, one hundred".