102112212120121 has 24 divisors (see below), whose sum is σ = 123949387209600. Its totient is φ = 83718458252352.

The previous prime is 102112212120109. The next prime is 102112212120137. The reversal of 102112212120121 is 121021212211201.

It is a happy number.

It is not a de Polignac number, because 102112212120121 - 2²¹ = 102112210022969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112212120151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122030460 + ... + 122864386.

It is an arithmetic number, because the mean of its divisors is an integer number (5164557800400).

Almost surely, 2^{102112212120121} is an apocalyptic number.

It is an amenable number.

102112212120121 is a deficient number, since it is larger than the sum of its proper divisors (21837175089479).

102112212120121 is a wasteful number, since it uses less digits than its factorization.

102112212120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942613 (or 942606 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102112212120121 its reverse (121021212211201), we get a palindrome (223133424331322).

The spelling of 102112212120121 in words is "one hundred two trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-one".