102213112131221 has 12 divisors (see below), whose sum is σ = 128047195417932. Its totient is φ = 80871912894528.

The previous prime is 102213112131217. The next prime is 102213112131289. The reversal of 102213112131221 is 122131211312201.

It can be written as a sum of positive squares in 2 ways, for example, as 60362240030596 + 41850872100625 = 7769314^2 + 6469225^2 .

It is not a de Polignac number, because 102213112131221 - 2² = 102213112131217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213112131821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80230071680 + ... + 80230072953.

It is an arithmetic number, because the mean of its divisors is an integer number (10670599618161).

Almost surely, 2^{102213112131221} is an apocalyptic number.

It is an amenable number.

102213112131221 is a deficient number, since it is larger than the sum of its proper divisors (25834083286711).

102213112131221 is a wasteful number, since it uses less digits than its factorization.

102213112131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160460144660 (or 160460144653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 102213112131221 its reverse (122131211312201), we get a palindrome (224344323443422).

The spelling of 102213112131221 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twelve million, one hundred thirty-one thousand, two hundred twenty-one".