102100021112113 has 2 divisors, whose sum is σ = 102100021112114. Its totient is φ = 102100021112112.

The previous prime is 102100021112087. The next prime is 102100021112137. The reversal of 102100021112113 is 311211120001201.

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., 63883045479969 + 38216975632144 = 7992687^2 + 6181988^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100021112113 - 2⁵ = 102100021112081 is a prime.

It is a super-2 number, since 2×102100021112113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102100001112113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050010556056 + 51050010556057.

It is an arithmetic number, because the mean of its divisors is an integer number (51050010556057).

Almost surely, 2^{102100021112113} is an apocalyptic number.

It is an amenable number.

102100021112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100021112113 is an equidigital number, since it uses as much as digits as its factorization.

102100021112113 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 16.

Adding to 102100021112113 its reverse (311211120001201), we get a palindrome (413311141113314).

The spelling of 102100021112113 in words is "one hundred two trillion, one hundred billion, twenty-one million, one hundred twelve thousand, one hundred thirteen".