101112000220 has 48 divisors (see below), whose sum is σ = 264729604608. Its totient is φ = 31515428160.

The previous prime is 101112000211. The next prime is 101112000239. The reversal of 101112000220 is 22000211101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101112000197 and 101112000206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32827032 + ... + 32830111.

It is an arithmetic number, because the mean of its divisors is an integer number (5515200096).

Almost surely, 2^101112000220 is an apocalyptic number.

101112000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112000220 is an abundant number, since it is smaller than the sum of its proper divisors (163617604388).

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

101112000220 is a wasteful number, since it uses less digits than its factorization.

101112000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65657170 (or 65657168 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101112000220 its reverse (22000211101), we get a palindrome (123112211321).

The spelling of 101112000220 in words is "one hundred one billion, one hundred twelve million, two hundred twenty", and thus it is an aban number.