102100100122121 has 2 divisors, whose sum is σ = 102100100122122. Its totient is φ = 102100100122120.

The previous prime is 102100100122093. The next prime is 102100100122187. The reversal of 102100100122121 is 121221001001201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101509876694521 + 590223427600 = 10075211^2 + 768260^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100100122121 - 2³⁸ = 101825222215177 is a prime.

It is a super-2 number, since 2×102100100122121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102100100122096 and 102100100122105.

It is not a weakly prime, because it can be changed into another prime (102100100122421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050050061060 + 51050050061061.

It is an arithmetic number, because the mean of its divisors is an integer number (51050050061061).

Almost surely, 2^{102100100122121} is an apocalyptic number.

It is an amenable number.

102100100122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100100122121 is an equidigital number, since it uses as much as digits as its factorization.

102100100122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102100100122121 its reverse (121221001001201), we get a palindrome (223321101123322).

The spelling of 102100100122121 in words is "one hundred two trillion, one hundred billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-one".