101011322112 has 36 divisors (see below), whose sum is σ = 268837427040. Its totient is φ = 33670440448.

The previous prime is 101011322081. The next prime is 101011322147. The reversal of 101011322112 is 211223110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011322091 and 101011322100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65761812 + ... + 65763347.

Almost surely, 2^101011322112 is an apocalyptic number.

101011322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011322112 is an abundant number, since it is smaller than the sum of its proper divisors (167826104928).

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

101011322112 is an equidigital number, since it uses as much as digits as its factorization.

101011322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131525178 (or 131525164 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101011322112 its reverse (211223110101), we get a palindrome (312234432213).

The spelling of 101011322112 in words is "one hundred one billion, eleven million, three hundred twenty-two thousand, one hundred twelve".