100210122232 has 64 divisors (see below), whose sum is σ = 208701360000. Its totient is φ = 44723902080.

The previous prime is 100210122227. The next prime is 100210122239. The reversal of 100210122232 is 232221012001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210122239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4448694 + ... + 4471162.

It is an arithmetic number, because the mean of its divisors is an integer number (3260958750).

Almost surely, 2^100210122232 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 100210122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104350680000).

100210122232 is an abundant number, since it is smaller than the sum of its proper divisors (108491237768).

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

100210122232 is a wasteful number, since it uses less digits than its factorization.

100210122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23404 (or 23400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100210122232 its reverse (232221012001), we get a palindrome (332431134233).

The spelling of 100210122232 in words is "one hundred billion, two hundred ten million, one hundred twenty-two thousand, two hundred thirty-two".