101232100 has 18 divisors (see below), whose sum is σ = 219673874. Its totient is φ = 40492800.

The previous prime is 101232097. The next prime is 101232107. The reversal of 101232100 is 1232101.

It can be written as a sum of positive squares in 3 ways, for example, as 26132544 + 75099556 = 5112^2 + 8666^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101232107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506061 + ... + 506260.

Almost surely, 2^101232100 is an apocalyptic number.

101232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101232100 is an abundant number, since it is smaller than the sum of its proper divisors (118441774).

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

101232100 is a wasteful number, since it uses less digits than its factorization.

101232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012335 (or 1012328 counting only the distinct ones).

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

The square root of 101232100 is about 10061.4164012827. The cubic root of 101232100 is about 466.0574078734.

Adding to 101232100 its reverse (1232101), we get a palindrome (102464201).

Subtracting from 101232100 its reverse (1232101), we obtain a palindrome (99999999).

The spelling of 101232100 in words is "one hundred one million, two hundred thirty-two thousand, one hundred".