100110111220 has 96 divisors (see below), whose sum is σ = 242858520576. Its totient is φ = 33953472000.

The previous prime is 100110111217. The next prime is 100110111223. The reversal of 100110111220 is 22111011001.

It is an interprime number because it is at equal distance from previous prime (100110111217) and next prime (100110111223).

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 = 100110111197 and 100110111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20797534 + ... + 20802346.

It is an arithmetic number, because the mean of its divisors is an integer number (2529776256).

Almost surely, 2^100110111220 is an apocalyptic number.

100110111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121429260288).

100110111220 is an abundant number, since it is smaller than the sum of its proper divisors (142748409356).

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

100110111220 is a wasteful number, since it uses less digits than its factorization.

100110111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401 (or 6399 counting only the distinct ones).

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

Adding to 100110111220 its reverse (22111011001), we get a palindrome (122221122221).

The spelling of 100110111220 in words is "one hundred billion, one hundred ten million, one hundred eleven thousand, two hundred twenty".