102100021112137 has 2 divisors, whose sum is σ = 102100021112138. Its totient is φ = 102100021112136.

The previous prime is 102100021112113. The next prime is 102100021112147. The reversal of 102100021112137 is 731211120001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97887753342976 + 4212267769161 = 9893824^2 + 2052381^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100021112137 - 2⁷ = 102100021112009 is a prime.

It is a super-2 number, since 2×102100021112137² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102100021112147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050010556068 + 51050010556069.

It is an arithmetic number, because the mean of its divisors is an integer number (51050010556069).

Almost surely, 2^{102100021112137} is an apocalyptic number.

It is an amenable number.

102100021112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100021112137 is an equidigital number, since it uses as much as digits as its factorization.

102100021112137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 102100021112137 its reverse (731211120001201), we get a palindrome (833311141113338).

The spelling of 102100021112137 in words is "one hundred two trillion, one hundred billion, twenty-one million, one hundred twelve thousand, one hundred thirty-seven".