100291922721 has 9 divisors (see below), whose sum is σ = 144867482929. Its totient is φ = 66860648436.

The previous prime is 100291922713. The next prime is 100291922729. The reversal of 100291922721 is 127229192001.

It is a happy number.

The square root of 100291922721 is 316689.

It is a perfect power (a square), and thus also a powerful number.

100291922721 is a `hidden beast` number, since 10 + 0 + 291 + 92 + 272 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (100291922713) and next prime (100291922729).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 100291922721 - 2³ = 100291922713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100291922729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 897286 + ... + 1002848.

Almost surely, 2^100291922721 is an apocalyptic number.

100291922721 is the 316689-th square number.

100291922721 is the 158345-th centered octagonal number.

It is an amenable number.

100291922721 is a deficient number, since it is larger than the sum of its proper divisors (44575560208).

100291922721 is an frugal number, since it uses more digits than its factorization.

100291922721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211132 (or 105566 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 100291922721 by its sum of digits (36), we get a square (3610509217956 = 1900134²).

The spelling of 100291922721 in words is "one hundred billion, two hundred ninety-one million, nine hundred twenty-two thousand, seven hundred twenty-one".