100212112210212 has 72 divisors (see below), whose sum is σ = 258095803230720. Its totient is φ = 32773474843200.

The previous prime is 100212112210201. The next prime is 100212112210237. The reversal of 100212112210212 is 212012211212001.

100212112210212 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 211 + 221 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 328693339 + ... + 328998077.

It is an arithmetic number, because the mean of its divisors is an integer number (3584663933760).

Almost surely, 2^{100212112210212} is an apocalyptic number.

100212112210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212112210212 is an abundant number, since it is smaller than the sum of its proper divisors (157883691020508).

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

100212112210212 is a wasteful number, since it uses less digits than its factorization.

100212112210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477153 (or 477148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212112210212 its reverse (212012211212001), we get a palindrome (312224323422213).

The spelling of 100212112210212 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred ten thousand, two hundred twelve".