101331122103312 has 20 divisors (see below), whose sum is σ = 261772065433680. Its totient is φ = 33777040701088.

The previous prime is 101331122103251. The next prime is 101331122103359. The reversal of 101331122103312 is 213301221133101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1055532521862 + ... + 1055532521957.

It is an arithmetic number, because the mean of its divisors is an integer number (13088603271684).

Almost surely, 2^{101331122103312} is an apocalyptic number.

101331122103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331122103312 is an abundant number, since it is smaller than the sum of its proper divisors (160440943330368).

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

101331122103312 is a wasteful number, since it uses less digits than its factorization.

101331122103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111065043830 (or 2111065043824 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101331122103312 its reverse (213301221133101), we get a palindrome (314632343236413).

The spelling of 101331122103312 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred three thousand, three hundred twelve".