100066665120 has 96 divisors (see below), whose sum is σ = 316623831552. Its totient is φ = 26564754432.

The previous prime is 100066665059. The next prime is 100066665151. The reversal of 100066665120 is 21566660001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100066665120² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360387 + ... + 574466.

It is an arithmetic number, because the mean of its divisors is an integer number (3298164912).

Almost surely, 2^100066665120 is an apocalyptic number.

100066665120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100066665120 is an abundant number, since it is smaller than the sum of its proper divisors (216557166432).

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

100066665120 is a wasteful number, since it uses less digits than its factorization.

100066665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935094 (or 935086 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 100066665120 in words is "one hundred billion, sixty-six million, six hundred sixty-five thousand, one hundred twenty".