100212010122000 has 320 divisors, whose sum is σ = 379217728940544. Its totient is φ = 22286531635200.

The previous prime is 100212010121917. The next prime is 100212010122041. The reversal of 100212010122000 is 221010212001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 30689247 + ... + 33797246.

Almost surely, 2^{100212010122000} is an apocalyptic number.

100212010122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212010122000 is an abundant number, since it is smaller than the sum of its proper divisors (279005718818544).

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

100212010122000 is a wasteful number, since it uses less digits than its factorization.

100212010122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64486563 (or 64486547 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212010122000 its reverse (221010212001), we get a palindrome (100433020334001).

Subtracting from 100212010122000 its reverse (221010212001), we obtain a palindrome (99990999909999).

The spelling of 100212010122000 in words is "one hundred trillion, two hundred twelve billion, ten million, one hundred twenty-two thousand".