100213111232 has 224 divisors, whose sum is σ = 233599500288. Its totient is φ = 42234200064.

The previous prime is 100213111199. The next prime is 100213111261. The reversal of 100213111232 is 232111312001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 100213111232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84424943 + ... + 84426129.

It is an arithmetic number, because the mean of its divisors is an integer number (1042854912).

Almost surely, 2^100213111232 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 100213111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116799750144).

100213111232 is an abundant number, since it is smaller than the sum of its proper divisors (133386389056).

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

100213111232 is a wasteful number, since it uses less digits than its factorization.

100213111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100213111232 its reverse (232111312001), we get a palindrome (332324423233).

The spelling of 100213111232 in words is "one hundred billion, two hundred thirteen million, one hundred eleven thousand, two hundred thirty-two".