102221111201013 has 20 divisors (see below), whose sum is σ = 174515054044320. Its totient is φ = 58412063543112.

The previous prime is 102221111201009. The next prime is 102221111201021. The reversal of 102221111201013 is 310102111122201.

It is a happy number.

It is not a de Polignac number, because 102221111201013 - 2² = 102221111201009 is a prime.

It is a super-2 number, since 2×102221111201013² (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 (102221111201813) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90142072803 + ... + 90142073936.

It is an arithmetic number, because the mean of its divisors is an integer number (8725752702216).

Almost surely, 2^{102221111201013} is an apocalyptic number.

It is an amenable number.

102221111201013 is a deficient number, since it is larger than the sum of its proper divisors (72293942843307).

102221111201013 is an equidigital number, since it uses as much as digits as its factorization.

102221111201013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180284146758 (or 180284146749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102221111201013 its reverse (310102111122201), we get a palindrome (412323222323214).

The spelling of 102221111201013 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred eleven million, two hundred one thousand, thirteen".