100122111111220 has 96 divisors (see below), whose sum is σ = 230044829124096. Its totient is φ = 36301040630400.

The previous prime is 100122111111193. The next prime is 100122111111263. The reversal of 100122111111220 is 22111111221001.

It is a junction number, because it is equal to n+sod(n) for n = 100122111111194 and 100122111111203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2113907259 + ... + 2113954621.

It is an arithmetic number, because the mean of its divisors is an integer number (2396300303376).

Almost surely, 2^{100122111111220} is an apocalyptic number.

100122111111220 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 100122111111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115022414562048).

100122111111220 is an abundant number, since it is smaller than the sum of its proper divisors (129922718012876).

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

100122111111220 is a wasteful number, since it uses less digits than its factorization.

100122111111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75421 (or 75419 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100122111111220 its reverse (22111111221001), we get a palindrome (122233222332221).

The spelling of 100122111111220 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty".