101401300 has 144 divisors (see below), whose sum is σ = 295731072. Its totient is φ = 29145600.

The previous prime is 101401297. The next prime is 101401301. The reversal of 101401300 is 3104101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99594 + ... + 100606.

It is an arithmetic number, because the mean of its divisors is an integer number (2053688).

Almost surely, 2^101401300 is an apocalyptic number.

101401300 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 101401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147865536).

101401300 is an abundant number, since it is smaller than the sum of its proper divisors (194329772).

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

101401300 is a wasteful number, since it uses less digits than its factorization.

101401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101401300 is about 10069.8212496548. The cubic root of 101401300 is about 466.3169204858.

Adding to 101401300 its reverse (3104101), we get a palindrome (104505401).

The spelling of 101401300 in words is "one hundred one million, four hundred one thousand, three hundred".