100111101220 has 36 divisors (see below), whose sum is σ = 227649097620. Its totient is φ = 36964097664.

The previous prime is 100111101197. The next prime is 100111101221. The reversal of 100111101220 is 22101111001.

It can be written as a sum of positive squares in 6 ways, for example, as 51000995556 + 49110105664 = 225834^2 + 221608^2 .

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 = 100111101197 and 100111101206.

It is not an unprimeable number, because it can be changed into a prime (100111101221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14805955 + ... + 14812714.

It is an arithmetic number, because the mean of its divisors is an integer number (6323586045).

Almost surely, 2^100111101220 is an apocalyptic number.

100111101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111101220 is an abundant number, since it is smaller than the sum of its proper divisors (127537996400).

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

100111101220 is a wasteful number, since it uses less digits than its factorization.

100111101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29618704 (or 29618689 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100111101220 its reverse (22101111001), we get a palindrome (122212212221).

The spelling of 100111101220 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, two hundred twenty".