102123013121 has 2 divisors, whose sum is σ = 102123013122. Its totient is φ = 102123013120.

The previous prime is 102123013117. The next prime is 102123013217. The reversal of 102123013121 is 121310321201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102029136400 + 93876721 = 319420^2 + 9689^2 .

It is a cyclic number.

It is not a de Polignac number, because 102123013121 - 2² = 102123013117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102123013121.

It is not a weakly prime, because it can be changed into another prime (102123213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51061506560 + 51061506561.

It is an arithmetic number, because the mean of its divisors is an integer number (51061506561).

Almost surely, 2^102123013121 is an apocalyptic number.

It is an amenable number.

102123013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102123013121 is an equidigital number, since it uses as much as digits as its factorization.

102123013121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102123013121 its reverse (121310321201), we get a palindrome (223433334322).

The spelling of 102123013121 in words is "one hundred two billion, one hundred twenty-three million, thirteen thousand, one hundred twenty-one".