102010100022013 has 2 divisors, whose sum is σ = 102010100022014. Its totient is φ = 102010100022012.

The previous prime is 102010100022007. The next prime is 102010100022043. The reversal of 102010100022013 is 310220001010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69896990435364 + 32113109586649 = 8360442^2 + 5666843^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102010100022013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010100021984 and 102010100022002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102010100022043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005050011006 + 51005050011007.

It is an arithmetic number, because the mean of its divisors is an integer number (51005050011007).

Almost surely, 2^{102010100022013} is an apocalyptic number.

It is an amenable number.

102010100022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010100022013 is an equidigital number, since it uses as much as digits as its factorization.

102010100022013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102010100022013 its reverse (310220001010201), we get a palindrome (412230101032214).

The spelling of 102010100022013 in words is "one hundred two trillion, ten billion, one hundred million, twenty-two thousand, thirteen".