102212101121221 has 16 divisors (see below), whose sum is σ = 125830199824000. Its totient is φ = 80851383206208.

The previous prime is 102212101121213. The next prime is 102212101121227. The reversal of 102212101121221 is 122121101212201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102212101121221 - 2³ = 102212101121213 is a prime.

It is a super-2 number, since 2×102212101121221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212101121227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136637226 + ... + 137383243.

It is an arithmetic number, because the mean of its divisors is an integer number (7864387489000).

Almost surely, 2^{102212101121221} is an apocalyptic number.

It is an amenable number.

102212101121221 is a deficient number, since it is larger than the sum of its proper divisors (23618098702779).

102212101121221 is a wasteful number, since it uses less digits than its factorization.

102212101121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274024588.

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

Adding to 102212101121221 its reverse (122121101212201), we get a palindrome (224333202333422).

The spelling of 102212101121221 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty-one".