102012102212117 has 2 divisors, whose sum is σ = 102012102212118. Its totient is φ = 102012102212116.

The previous prime is 102012102212051. The next prime is 102012102212131. The reversal of 102012102212117 is 711212201210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99045667804561 + 2966434407556 = 9952169^2 + 1722334^2 .

It is a cyclic number.

It is not a de Polignac number, because 102012102212117 - 2³⁸ = 101737224305173 is a prime.

It is a super-2 number, since 2×102012102212117² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102012102212092 and 102012102212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102012102262117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006051106058 + 51006051106059.

It is an arithmetic number, because the mean of its divisors is an integer number (51006051106059).

Almost surely, 2^{102012102212117} is an apocalyptic number.

It is an amenable number.

102012102212117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102012102212117 is an equidigital number, since it uses as much as digits as its factorization.

102012102212117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 102012102212117 its reverse (711212201210201), we get a palindrome (813224303422318).

The spelling of 102012102212117 in words is "one hundred two trillion, twelve billion, one hundred two million, two hundred twelve thousand, one hundred seventeen".