100200111232 has 128 divisors (see below), whose sum is σ = 221716278000. Its totient is φ = 44810895360.

The previous prime is 100200111227. The next prime is 100200111251. The reversal of 100200111232 is 232111002001.

It can be written as a sum of positive squares in 8 ways, for example, as 55711296 + 100144399936 = 7464^2 + 316456^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10160448 + ... + 10170304.

Almost surely, 2^100200111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110858139000).

100200111232 is an abundant number, since it is smaller than the sum of its proper divisors (121516166768).

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

100200111232 is a wasteful number, since it uses less digits than its factorization.

100200111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100200111232 its reverse (232111002001), we get a palindrome (332311113233).

The spelling of 100200111232 in words is "one hundred billion, two hundred million, one hundred eleven thousand, two hundred thirty-two".