102010321013000 has 64 divisors (see below), whose sum is σ = 238733419644720. Its totient is φ = 40799125248000.

The previous prime is 102010321012997. The next prime is 102010321013011. The reversal of 102010321013000 is 310123010201.

It can be written as a sum of positive squares in 8 ways, for example, as 1035114968836 + 100975206044164 = 1017406^2 + 10048642^2 .

It is a super-2 number, since 2×102010321013000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1911134 + ... + 14410866.

Almost surely, 2^{102010321013000} is an apocalyptic number.

102010321013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010321013000 is an abundant number, since it is smaller than the sum of its proper divisors (136723098631720).

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

102010321013000 is a wasteful number, since it uses less digits than its factorization.

102010321013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12507915 (or 12507901 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 102010321013000 its reverse (310123010201), we get a palindrome (102320444023201).

The spelling of 102010321013000 in words is "one hundred two trillion, ten billion, three hundred twenty-one million, thirteen thousand".