10204102164004 has 12 divisors (see below), whose sum is σ = 20408204328064. Its totient is φ = 4373186641704.

The previous prime is 10204102163987. The next prime is 10204102164029. The reversal of 10204102164004 is 40046120140201.

10204102164004 is an admirable number.

It is a super-2 number, since 2×10204102164004² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10204102164004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182216110044 + ... + 182216110099.

Almost surely, 2^{10204102164004} is an apocalyptic number.

10204102164004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10204102164004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10204102164004 is a wasteful number, since it uses less digits than its factorization.

10204102164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364432220154 (or 364432220152 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 10204102164004 in words is "ten trillion, two hundred four billion, one hundred two million, one hundred sixty-four thousand, four".