100033130220012 has 72 divisors (see below), whose sum is σ = 275850608119632. Its totient is φ = 30312885888000.

The previous prime is 100033130220007. The next prime is 100033130220041. The reversal of 100033130220012 is 210022031330001.

100033130220012 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 331 + 302 + 20 + 0 + 12 = 666.

It is a super-2 number, since 2×100033130220012² (a number of 29 digits) contains 22 as substring.

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

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, 73735012 + ... + 75079412.

It is an arithmetic number, because the mean of its divisors is an integer number (3831258446106).

Almost surely, 2^{100033130220012} is an apocalyptic number.

100033130220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100033130220012 is an abundant number, since it is smaller than the sum of its proper divisors (175817477899620).

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

100033130220012 is a wasteful number, since it uses less digits than its factorization.

100033130220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532319 (or 1532314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100033130220012 its reverse (210022031330001), we get a palindrome (310055161550013).

The spelling of 100033130220012 in words is "one hundred trillion, thirty-three billion, one hundred thirty million, two hundred twenty thousand, twelve".