101013200 has 30 divisors (see below), whose sum is σ = 242685174. Its totient is φ = 40405120.

The previous prime is 101013197. The next prime is 101013203. The reversal of 101013200 is 2310101.

It is an interprime number because it is at equal distance from previous prime (101013197) and next prime (101013203).

It can be written as a sum of positive squares in 3 ways, for example, as 31990336 + 69022864 = 5656^2 + 8308^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013203) 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 5 ways as a sum of consecutive naturals, for example, 125867 + ... + 126666.

Almost surely, 2^101013200 is an apocalyptic number.

101013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101013200 is an abundant number, since it is smaller than the sum of its proper divisors (141671974).

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

101013200 is a wasteful number, since it uses less digits than its factorization.

101013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252551 (or 252540 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101013200 is about 10050.5323242105. The cubic root of 101013200 is about 465.7212378588.

Adding to 101013200 its reverse (2310101), we get a palindrome (103323301).

The spelling of 101013200 in words is "one hundred one million, thirteen thousand, two hundred".