100100010212112 has 40 divisors (see below), whose sum is σ = 258599573568000. Its totient is φ = 33365653229440.

The previous prime is 100100010212077. The next prime is 100100010212119. The reversal of 100100010212112 is 211212010001001.

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

It is not an unprimeable number, because it can be changed into a prime (100100010212119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30183987 + ... + 33335762.

It is an arithmetic number, because the mean of its divisors is an integer number (6464989339200).

Almost surely, 2^{100100010212112} is an apocalyptic number.

100100010212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100010212112 is an abundant number, since it is smaller than the sum of its proper divisors (158499563355888).

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

100100010212112 is a wasteful number, since it uses less digits than its factorization.

100100010212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63552591 (or 63552585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100010212112 its reverse (211212010001001), we get a palindrome (311312020213113).

The spelling of 100100010212112 in words is "one hundred trillion, one hundred billion, ten million, two hundred twelve thousand, one hundred twelve".