101122320312 has 96 divisors (see below), whose sum is σ = 296484814080. Its totient is φ = 30951601920.

The previous prime is 101122320293. The next prime is 101122320319. The reversal of 101122320312 is 213023221101.

101122320312 is a `hidden beast` number, since 1 + 0 + 11 + 22 + 320 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122320319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104043 + ... + 461594.

It is an arithmetic number, because the mean of its divisors is an integer number (3088383480).

Almost surely, 2^101122320312 is an apocalyptic number.

101122320312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122320312 is an abundant number, since it is smaller than the sum of its proper divisors (195362493768).

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

101122320312 is a wasteful number, since it uses less digits than its factorization.

101122320312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565853 (or 565846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101122320312 its reverse (213023221101), we get a palindrome (314145541413).

The spelling of 101122320312 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty thousand, three hundred twelve".