100102122099965 has 16 divisors (see below), whose sum is σ = 123863576070528. Its totient is φ = 77624087027136.

The previous prime is 100102122099961. The next prime is 100102122099989. The reversal of 100102122099965 is 569990221201001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100102122099965 - 2² = 100102122099961 is a prime.

It is a super-2 number, since 2×100102122099965² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102122099961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275543409 + ... + 2275587398.

It is an arithmetic number, because the mean of its divisors is an integer number (7741473504408).

Almost surely, 2^{100102122099965} is an apocalyptic number.

It is an amenable number.

100102122099965 is a deficient number, since it is larger than the sum of its proper divisors (23761453970563).

100102122099965 is an equidigital number, since it uses as much as digits as its factorization.

100102122099965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551130948.

The product of its (nonzero) digits is 174960, while the sum is 47.

The spelling of 100102122099965 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, ninety-nine thousand, nine hundred sixty-five".