102110002011013 has 2 divisors, whose sum is σ = 102110002011014. Its totient is φ = 102110002011012.

The previous prime is 102110002010903. The next prime is 102110002011023. The reversal of 102110002011013 is 310110200011201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81086098867524 + 21023903143489 = 9004782^2 + 4585183^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110002011013 - 2³³ = 102101412076421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102110002010984 and 102110002011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102110002011023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055001005506 + 51055001005507.

It is an arithmetic number, because the mean of its divisors is an integer number (51055001005507).

Almost surely, 2^{102110002011013} is an apocalyptic number.

It is an amenable number.

102110002011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110002011013 is an equidigital number, since it uses as much as digits as its factorization.

102110002011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102110002011013 its reverse (310110200011201), we get a palindrome (412220202022214).

The spelling of 102110002011013 in words is "one hundred two trillion, one hundred ten billion, two million, eleven thousand, thirteen".