100212122211200 has 96 divisors (see below), whose sum is σ = 250537852285560. Its totient is φ = 39601898792960.

The previous prime is 100212122211167. The next prime is 100212122211209. The reversal of 100212122211200 is 2112221212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212122211209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188386739 + ... + 188917938.

Almost surely, 2^{100212122211200} is an apocalyptic number.

100212122211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212122211200 is an abundant number, since it is smaller than the sum of its proper divisors (150325730074360).

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

100212122211200 is an equidigital number, since it uses as much as digits as its factorization.

100212122211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377304784 (or 377304767 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100212122211200 its reverse (2112221212001), we get a palindrome (102324343423201).

The spelling of 100212122211200 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, two hundred".