101117864224 has 48 divisors (see below), whose sum is σ = 215405568000. Its totient is φ = 46448559360.

The previous prime is 101117864209. The next prime is 101117864251. The reversal of 101117864224 is 422468711101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488224 + ... + 663775.

It is an arithmetic number, because the mean of its divisors is an integer number (4487616000).

Almost surely, 2^101117864224 is an apocalyptic number.

It is an amenable number.

101117864224 is an abundant number, since it is smaller than the sum of its proper divisors (114287703776).

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

101117864224 is a wasteful number, since it uses less digits than its factorization.

101117864224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152233 (or 1152225 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 101117864224 in words is "one hundred one billion, one hundred seventeen million, eight hundred sixty-four thousand, two hundred twenty-four".