10204102164165 has 128 divisors (see below), whose sum is σ = 20339945472000. Its totient is φ = 4253493150720.

The previous prime is 10204102164163. The next prime is 10204102164181. The reversal of 10204102164165 is 56146120140201.

It is not a de Polignac number, because 10204102164165 - 2¹ = 10204102164163 is a prime.

It is a super-2 number, since 2×10204102164165² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204102164163) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49144236 + ... + 49351434.

It is an arithmetic number, because the mean of its divisors is an integer number (158905824000).

Almost surely, 2^{10204102164165} is an apocalyptic number.

10204102164165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10204102164165 is a deficient number, since it is larger than the sum of its proper divisors (10135843307835).

10204102164165 is a wasteful number, since it uses less digits than its factorization.

10204102164165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207667.

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 10204102164165 in words is "ten trillion, two hundred four billion, one hundred two million, one hundred sixty-four thousand, one hundred sixty-five".