100424976201 has 105 divisors (see below), whose sum is σ = 167349486855. Its totient is φ = 60236161920.

The previous prime is 100424976173. The next prime is 100424976227. The reversal of 100424976201 is 102679424001.

It is a happy number.

The square root of 100424976201 is 316899.

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

100424976201 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 24 + 9 + 7 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45094646025 + 55330330176 = 212355^2 + 235224^2 .

It is not a de Polignac number, because 100424976201 - 2²⁷ = 100290758473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100424976251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1035308985 + ... + 1035309081.

Almost surely, 2^100424976201 is an apocalyptic number.

100424976201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100424976201 is the 316899-th square number.

100424976201 is the 158450-th centered octagonal number.

It is an amenable number.

100424976201 is a deficient number, since it is larger than the sum of its proper divisors (66924510654).

100424976201 is an frugal number, since it uses more digits than its factorization.

100424976201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 100424976201 by its sum of digits (36), we get a square (3615299143236 = 1901394²).

The spelling of 100424976201 in words is "one hundred billion, four hundred twenty-four million, nine hundred seventy-six thousand, two hundred one".