102212102122121 has 16 divisors (see below), whose sum is σ = 104993184912000. Its totient is φ = 99449431724160.

The previous prime is 102212102122079. The next prime is 102212102122217. The reversal of 102212102122121 is 121221201212201.

It is a cyclic number.

It is not a de Polignac number, because 102212102122121 - 2³⁰ = 102211028380297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102212102122093 and 102212102122102.

It is not an unprimeable number, because it can be changed into a prime (102212102125121) 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 in 15 ways as a sum of consecutive naturals, for example, 191772005 + ... + 192304253.

It is an arithmetic number, because the mean of its divisors is an integer number (6562074057000).

Almost surely, 2^{102212102122121} is an apocalyptic number.

It is an amenable number.

102212102122121 is a deficient number, since it is larger than the sum of its proper divisors (2781082789879).

102212102122121 is a wasteful number, since it uses less digits than its factorization.

102212102122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549536.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 102212102122121 its reverse (121221201212201), we get a palindrome (223433303334322).

The spelling of 102212102122121 in words is "one hundred two trillion, two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-one".