101112212000 has 96 divisors (see below), whose sum is σ = 256999644720. Its totient is φ = 39050188800.

The previous prime is 101112211999. The next prime is 101112212023. The reversal of 101112212000 is 212211101.

It can be written as a sum of positive squares in 8 ways, for example, as 2594068624 + 98518143376 = 50932^2 + 313876^2 .

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, 319829 + ... + 551828.

Almost surely, 2^101112212000 is an apocalyptic number.

101112212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112212000 is an abundant number, since it is smaller than the sum of its proper divisors (155887432720).

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

101112212000 is an equidigital number, since it uses as much as digits as its factorization.

101112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871711 (or 871693 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101112212000 its reverse (212211101), we get a palindrome (101324423101).

The spelling of 101112212000 in words is "one hundred one billion, one hundred twelve million, two hundred twelve thousand".