100220000112 has 120 divisors (see below), whose sum is σ = 306173736960. Its totient is φ = 31648397760.

The previous prime is 100220000077. The next prime is 100220000137. The reversal of 100220000112 is 211000022001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100220000094 and 100220000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604464 + ... + 752207.

It is an arithmetic number, because the mean of its divisors is an integer number (2551447808).

Almost surely, 2^100220000112 is an apocalyptic number.

100220000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220000112 is an abundant number, since it is smaller than the sum of its proper divisors (205953736848).

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

100220000112 is a wasteful number, since it uses less digits than its factorization.

100220000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356713 (or 1356695 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100220000112 its reverse (211000022001), we get a palindrome (311220022113).

The spelling of 100220000112 in words is "one hundred billion, two hundred twenty million, one hundred twelve", and thus it is an aban number.