102212102125121 has 2 divisors, whose sum is σ = 102212102125122. Its totient is φ = 102212102125120.

The previous prime is 102212102125117. The next prime is 102212102125169. The reversal of 102212102125121 is 121521201212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90570624259600 + 11641477865521 = 9516860^2 + 3411961^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212102125121 - 2² = 102212102125117 is a prime.

It is not a weakly prime, because it can be changed into another prime (102212102145121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106051062560 + 51106051062561.

It is an arithmetic number, because the mean of its divisors is an integer number (51106051062561).

Almost surely, 2^{102212102125121} is an apocalyptic number.

It is an amenable number.

102212102125121 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212102125121 is an equidigital number, since it uses as much as digits as its factorization.

102212102125121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 23.

Adding to 102212102125121 its reverse (121521201212201), we get a palindrome (223733303337322).

The spelling of 102212102125121 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, one hundred twenty-five thousand, one hundred twenty-one".