102110002013312 has 32 divisors (see below), whose sum is σ = 205707913137900. Its totient is φ = 50481349304320.

The previous prime is 102110002013251. The next prime is 102110002013329. The reversal of 102110002013312 is 213310200011201.

It can be written as a sum of positive squares in 2 ways, for example, as 92283382067776 + 9826619945536 = 9606424^2 + 3134744^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×102110002013312² (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 (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4481642489 + ... + 4481665272.

Almost surely, 2^{102110002013312} is an apocalyptic number.

It is an amenable number.

102110002013312 is an abundant number, since it is smaller than the sum of its proper divisors (103597911124588).

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

102110002013312 is an frugal number, since it uses more digits than its factorization.

102110002013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963307864 (or 8963307852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102110002013312 its reverse (213310200011201), we get a palindrome (315420202024513).

The spelling of 102110002013312 in words is "one hundred two trillion, one hundred ten billion, two million, thirteen thousand, three hundred twelve".