102107156565161 has 16 divisors (see below), whose sum is σ = 111508132439808. Its totient is φ = 92725938392400.

The previous prime is 102107156565061. The next prime is 102107156565181. The reversal of 102107156565161 is 161565651701201.

It is a cyclic number.

It is not a de Polignac number, because 102107156565161 - 2²² = 102107152370857 is a prime.

It is a super-4 number, since 4×102107156565161⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102107156565181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349197326 + ... + 349489608.

It is an arithmetic number, because the mean of its divisors is an integer number (6969258277488).

Almost surely, 2^{102107156565161} is an apocalyptic number.

102107156565161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102107156565161 is a deficient number, since it is larger than the sum of its proper divisors (9400975874647).

102107156565161 is a wasteful number, since it uses less digits than its factorization.

102107156565161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325972.

The product of its (nonzero) digits is 378000, while the sum is 47.

The spelling of 102107156565161 in words is "one hundred two trillion, one hundred seven billion, one hundred fifty-six million, five hundred sixty-five thousand, one hundred sixty-one".