100979406420201 has 45 divisors (see below), whose sum is σ = 151322157004359. Its totient is φ = 67107674012544.

The previous prime is 100979406420169. The next prime is 100979406420257. The reversal of 100979406420201 is 102024604979001.

The square root of 100979406420201 is 10048851.

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

100979406420201 is a `hidden beast` number, since 10 + 0 + 9 + 7 + 9 + 4 + 0 + 6 + 420 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41024985755625 + 59954420664576 = 6405075^2 + 7743024^2 .

It is not a de Polignac number, because 100979406420201 - 2⁵ = 100979406420169 is a prime.

It is a super-2 number, since 2×100979406420201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100979406420701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31925198046 + ... + 31925201208.

Almost surely, 2^{100979406420201} is an apocalyptic number.

100979406420201 is the 10048851-st square number.

100979406420201 is the 5024426-th centered octagonal number.

It is an amenable number.

100979406420201 is a deficient number, since it is larger than the sum of its proper divisors (50342750584158).

100979406420201 is an frugal number, since it uses more digits than its factorization.

100979406420201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 100979406420201 in words is "one hundred trillion, nine hundred seventy-nine billion, four hundred six million, four hundred twenty thousand, two hundred one".