102112213121 has 2 divisors, whose sum is σ = 102112213122. Its totient is φ = 102112213120.

The previous prime is 102112213031. The next prime is 102112213139. The reversal of 102112213121 is 121312211201.

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., 102067470400 + 44742721 = 319480^2 + 6689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102112213121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102112213121.

It is not a weakly prime, because it can be changed into another prime (102112213421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056106560 + 51056106561.

It is an arithmetic number, because the mean of its divisors is an integer number (51056106561).

Almost surely, 2^102112213121 is an apocalyptic number.

It is an amenable number.

102112213121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112213121 is an equidigital number, since it uses as much as digits as its factorization.

102112213121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102112213121 its reverse (121312211201), we get a palindrome (223424424322).

The spelling of 102112213121 in words is "one hundred two billion, one hundred twelve million, two hundred thirteen thousand, one hundred twenty-one".