102202303112312 has 96 divisors (see below), whose sum is σ = 213155675409600. Its totient is φ = 45647926545408.

The previous prime is 102202303112297. The next prime is 102202303112323. The reversal of 102202303112312 is 213211303202201.

It is a super-2 number, since 2×102202303112312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37398014 + ... + 40037682.

It is an arithmetic number, because the mean of its divisors is an integer number (2220371618850).

Almost surely, 2^{102202303112312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202303112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106577837704800).

102202303112312 is an abundant number, since it is smaller than the sum of its proper divisors (110953372297288).

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

102202303112312 is a wasteful number, since it uses less digits than its factorization.

102202303112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639913 (or 2639820 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102202303112312 its reverse (213211303202201), we get a palindrome (315413606314513).

The spelling of 102202303112312 in words is "one hundred two trillion, two hundred two billion, three hundred three million, one hundred twelve thousand, three hundred twelve".