10110200122013 has 2 divisors, whose sum is σ = 10110200122014. Its totient is φ = 10110200122012.

The previous prime is 10110200121979. The next prime is 10110200122021. The reversal of 10110200122013 is 31022100201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9171678996484 + 938521125529 = 3028478^2 + 968773^2 .

It is an emirp because it is prime and its reverse (31022100201101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110200122013 - 2³⁶ = 10041480645277 is a prime.

It is a super-2 number, since 2×10110200122013² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110200125013) by changing a digit.

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 as a sum of consecutive naturals, namely, 5055100061006 + 5055100061007.

It is an arithmetic number, because the mean of its divisors is an integer number (5055100061007).

Almost surely, 2^{10110200122013} is an apocalyptic number.

It is an amenable number.

10110200122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110200122013 is an equidigital number, since it uses as much as digits as its factorization.

10110200122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10110200122013 its reverse (31022100201101), we get a palindrome (41132300323114).

The spelling of 10110200122013 in words is "ten trillion, one hundred ten billion, two hundred million, one hundred twenty-two thousand, thirteen".