100212938952 has 256 divisors, whose sum is σ = 309237350400. Its totient is φ = 26422744320.

The previous prime is 100212938941. The next prime is 100212938989. The reversal of 100212938952 is 259839212001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67391953 + ... + 67393439.

It is an arithmetic number, because the mean of its divisors is an integer number (1207958400).

Almost surely, 2^100212938952 is an apocalyptic number.

100212938952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212938952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154618675200).

100212938952 is an abundant number, since it is smaller than the sum of its proper divisors (209024411448).

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

100212938952 is a wasteful number, since it uses less digits than its factorization.

100212938952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 100212938952 in words is "one hundred billion, two hundred twelve million, nine hundred thirty-eight thousand, nine hundred fifty-two".