100109109674412 has 240 divisors, whose sum is σ = 277370975304192. Its totient is φ = 31418436867840.

The previous prime is 100109109674411. The next prime is 100109109674447. The reversal of 100109109674412 is 214476901901001.

100109109674412 is a `hidden beast` number, since 1 + 0 + 0 + 109 + 10 + 96 + 7 + 441 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (100109109674411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 659478273 + ... + 659630055.

Almost surely, 2^{100109109674412} is an apocalyptic number.

100109109674412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100109109674412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138685487652096).

100109109674412 is an abundant number, since it is smaller than the sum of its proper divisors (177261865629780).

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

100109109674412 is a wasteful number, since it uses less digits than its factorization.

100109109674412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153210 (or 153199 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 100109109674412 in words is "one hundred trillion, one hundred nine billion, one hundred nine million, six hundred seventy-four thousand, four hundred twelve".