101112100100220 has 48 divisors (see below), whose sum is σ = 308851505762688. Its totient is φ = 24512024266560.

The previous prime is 101112100100213. The next prime is 101112100100257. The reversal of 101112100100220 is 22001001211101.

101112100100220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101112100100196 and 101112100100205.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 76600075174 + ... + 76600076493.

It is an arithmetic number, because the mean of its divisors is an integer number (6434406370056).

Almost surely, 2^{101112100100220} is an apocalyptic number.

101112100100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112100100220 is an abundant number, since it is smaller than the sum of its proper divisors (207739405662468).

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

101112100100220 is a wasteful number, since it uses less digits than its factorization.

101112100100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153200151690 (or 153200151688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112100100220 its reverse (22001001211101), we get a palindrome (123113101311321).

The spelling of 101112100100220 in words is "one hundred one trillion, one hundred twelve billion, one hundred million, one hundred thousand, two hundred twenty".