101112112011220 has 24 divisors (see below), whose sum is σ = 219184965393408. Its totient is φ = 39140172391200.

The previous prime is 101112112011187. The next prime is 101112112011221. The reversal of 101112112011220 is 22110211211101.

It is a junction number, because it is equal to n+sod(n) for n = 101112112011194 and 101112112011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112112011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81542025196 + ... + 81542026435.

It is an arithmetic number, because the mean of its divisors is an integer number (9132706891392).

Almost surely, 2^{101112112011220} is an apocalyptic number.

101112112011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112112011220 is an abundant number, since it is smaller than the sum of its proper divisors (118072853382188).

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

101112112011220 is a wasteful number, since it uses less digits than its factorization.

101112112011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163084051671 (or 163084051669 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101112112011220 its reverse (22110211211101), we get a palindrome (123222323222321).

The spelling of 101112112011220 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, eleven thousand, two hundred twenty".