100113312210012 has 72 divisors (see below), whose sum is σ = 253814217611136. Its totient is φ = 33272217133344.

The previous prime is 100113312209929. The next prime is 100113312210061. The reversal of 100113312210012 is 210012213311001.

100113312210012 is a `hidden beast` number, since 100 + 1 + 1 + 331 + 221 + 0 + 0 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155666703 + ... + 156308505.

Almost surely, 2^{100113312210012} is an apocalyptic number.

100113312210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100113312210012 is an abundant number, since it is smaller than the sum of its proper divisors (153700905401124).

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

100113312210012 is a wasteful number, since it uses less digits than its factorization.

100113312210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654647 (or 654642 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100113312210012 its reverse (210012213311001), we get a palindrome (310125525521013).

The spelling of 100113312210012 in words is "one hundred trillion, one hundred thirteen billion, three hundred twelve million, two hundred ten thousand, twelve".