102121120000117 has 2 divisors, whose sum is σ = 102121120000118. Its totient is φ = 102121120000116.

The previous prime is 102121120000103. The next prime is 102121120000129. The reversal of 102121120000117 is 711000021121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95267243124036 + 6853876876081 = 9760494^2 + 2617991^2 .

It is a cyclic number.

It is not a de Polignac number, because 102121120000117 - 2¹¹ = 102121119998069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102121120000094 and 102121120000103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102121120000217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060560000058 + 51060560000059.

It is an arithmetic number, because the mean of its divisors is an integer number (51060560000059).

Almost surely, 2^{102121120000117} is an apocalyptic number.

It is an amenable number.

102121120000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121120000117 is an equidigital number, since it uses as much as digits as its factorization.

102121120000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 102121120000117 its reverse (711000021121201), we get a palindrome (813121141121318).

The spelling of 102121120000117 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred seventeen", and thus it is an aban number.