102210012212121 has 12 divisors (see below), whose sum is σ = 161058201061680. Its totient is φ = 61945461946680.

The previous prime is 102210012212117. The next prime is 102210012212171. The reversal of 102210012212121 is 121212210012201.

102210012212121 is a `hidden beast` number, since 10 + 221 + 0 + 0 + 1 + 221 + 212 + 1 = 666.

It is not a de Polignac number, because 102210012212121 - 2² = 102210012212117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102210012212094 and 102210012212103.

It is not an unprimeable number, because it can be changed into a prime (102210012212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516212182791 + ... + 516212182988.

It is an arithmetic number, because the mean of its divisors is an integer number (13421516755140).

Almost surely, 2^{102210012212121} is an apocalyptic number.

102210012212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102210012212121 is a deficient number, since it is larger than the sum of its proper divisors (58848188849559).

102210012212121 is a wasteful number, since it uses less digits than its factorization.

102210012212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032424365796 (or 1032424365793 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102210012212121 its reverse (121212210012201), we get a palindrome (223422222224322).

The spelling of 102210012212121 in words is "one hundred two trillion, two hundred ten billion, twelve million, two hundred twelve thousand, one hundred twenty-one".