101330122332312 has 96 divisors (see below), whose sum is σ = 275234157619200. Its totient is φ = 33678464883648.

The previous prime is 101330122332293. The next prime is 101330122332337. The reversal of 101330122332312 is 213233221033101.

101330122332312 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 0 + 12 + 2 + 332 + 312 = 666.

It is a super-2 number, since 2×101330122332312² (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, 212827273 + ... + 213302855.

It is an arithmetic number, because the mean of its divisors is an integer number (2867022475200).

Almost surely, 2^{101330122332312} is an apocalyptic number.

101330122332312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101330122332312 is an abundant number, since it is smaller than the sum of its proper divisors (173904035286888).

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

101330122332312 is a wasteful number, since it uses less digits than its factorization.

101330122332312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484197 (or 484190 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101330122332312 its reverse (213233221033101), we get a palindrome (314563343365413).

The spelling of 101330122332312 in words is "one hundred one trillion, three hundred thirty billion, one hundred twenty-two million, three hundred thirty-two thousand, three hundred twelve".