102122202221112 has 64 divisors (see below), whose sum is σ = 266542436160000. Its totient is φ = 32543995451264.

The previous prime is 102122202221077. The next prime is 102122202221113. The reversal of 102122202221112 is 211122202221201.

It is a super-2 number, since 2×102122202221112² (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 (102122202221113) 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, 46385412 + ... + 48537107.

It is an arithmetic number, because the mean of its divisors is an integer number (4164725565000).

Almost surely, 2^{102122202221112} is an apocalyptic number.

102122202221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102122202221112 is an abundant number, since it is smaller than the sum of its proper divisors (164420233938888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102122202221112 is a wasteful number, since it uses less digits than its factorization.

102122202221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94924500 (or 94924496 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 102122202221112 its reverse (211122202221201), we get a palindrome (313244404442313).

The spelling of 102122202221112 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty-one thousand, one hundred twelve".