102102012121221 has 72 divisors (see below), whose sum is σ = 179612064877440. Its totient is φ = 54738779429376.

The previous prime is 102102012121189. The next prime is 102102012121271. The reversal of 102102012121221 is 122121210201201.

102102012121221 is a `hidden beast` number, since 1 + 0 + 210 + 20 + 1 + 212 + 1 + 221 = 666.

It is not a de Polignac number, because 102102012121221 - 2⁵ = 102102012121189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102102012121194 and 102102012121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102012121271) 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 71 ways as a sum of consecutive naturals, for example, 3073561 + ... + 14616798.

Almost surely, 2^{102102012121221} is an apocalyptic number.

It is an amenable number.

102102012121221 is a deficient number, since it is larger than the sum of its proper divisors (77510052756219).

102102012121221 is a wasteful number, since it uses less digits than its factorization.

102102012121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17690723 (or 17690703 counting only the distinct ones).

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

Adding to 102102012121221 its reverse (122121210201201), we get a palindrome (224223222322422).

The spelling of 102102012121221 in words is "one hundred two trillion, one hundred two billion, twelve million, one hundred twenty-one thousand, two hundred twenty-one".