101112112010220 has 96 divisors (see below), whose sum is σ = 297857486195136. Its totient is φ = 25594628198400.

The previous prime is 101112112010209. The next prime is 101112112010243. The reversal of 101112112010220 is 22010211211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101112112010220.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 555347961 + ... + 555530000.

It is an arithmetic number, because the mean of its divisors is an integer number (3102682147866).

Almost surely, 2^{101112112010220} is an apocalyptic number.

101112112010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112112010220 is an abundant number, since it is smaller than the sum of its proper divisors (196745374184916).

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

101112112010220 is a wasteful number, since it uses less digits than its factorization.

101112112010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110878051 (or 1110878049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112112010220 its reverse (22010211211101), we get a palindrome (123122323221321).

The spelling of 101112112010220 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, ten thousand, two hundred twenty".