100077955201 has 27 divisors (see below), whose sum is σ = 119301064353. Its totient is φ = 83706474600.

The previous prime is 100077955157. The next prime is 100077955249. The reversal of 100077955201 is 102559770001.

The square root of 100077955201 is 316351.

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

It is not a de Polignac number, because 100077955201 - 2³⁵ = 65718216833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100077955001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95221126 + ... + 95222176.

It is an arithmetic number, because the mean of its divisors is an integer number (4418557939).

Almost surely, 2^100077955201 is an apocalyptic number.

100077955201 is the 316351-st square number.

100077955201 is the 158176-th centered octagonal number.

It is an amenable number.

100077955201 is a deficient number, since it is larger than the sum of its proper divisors (19223109152).

100077955201 is an frugal number, since it uses more digits than its factorization.

100077955201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 37.

The spelling of 100077955201 in words is "one hundred billion, seventy-seven million, nine hundred fifty-five thousand, two hundred one".