100220101199965 has 32 divisors (see below), whose sum is σ = 120568039590240. Its totient is φ = 79973808537600.

The previous prime is 100220101199957. The next prime is 100220101200007. The reversal of 100220101199965 is 569991101022001.

It can be written as a sum of positive squares in 16 ways, for example, as 17669756938681 + 82550344261284 = 4203541^2 + 9085722^2 .

It is not a de Polignac number, because 100220101199965 - 2³ = 100220101199957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11598202045 + ... + 11598210685.

It is an arithmetic number, because the mean of its divisors is an integer number (3767751237195).

Almost surely, 2^{100220101199965} is an apocalyptic number.

It is an amenable number.

100220101199965 is a deficient number, since it is larger than the sum of its proper divisors (20347938390275).

100220101199965 is a wasteful number, since it uses less digits than its factorization.

100220101199965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913.

The product of its (nonzero) digits is 87480, while the sum is 46.

The spelling of 100220101199965 in words is "one hundred trillion, two hundred twenty billion, one hundred one million, one hundred ninety-nine thousand, nine hundred sixty-five".