102202011020113 has 2 divisors, whose sum is σ = 102202011020114. Its totient is φ = 102202011020112.

The previous prime is 102202011020099. The next prime is 102202011020159. The reversal of 102202011020113 is 311020110202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65699908380304 + 36502102639809 = 8105548^2 + 6041697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202011020113 is a prime.

It is not a weakly prime, because it can be changed into another prime (102202011021113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101005510056 + 51101005510057.

It is an arithmetic number, because the mean of its divisors is an integer number (51101005510057).

Almost surely, 2^{102202011020113} is an apocalyptic number.

It is an amenable number.

102202011020113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202011020113 is an equidigital number, since it uses as much as digits as its factorization.

102202011020113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102202011020113 its reverse (311020110202201), we get a palindrome (413222121222314).

The spelling of 102202011020113 in words is "one hundred two trillion, two hundred two billion, eleven million, twenty thousand, one hundred thirteen".