100120111021220 has 24 divisors (see below), whose sum is σ = 210254653130424. Its totient is φ = 40047583458816.

The previous prime is 100120111021193. The next prime is 100120111021327. The reversal of 100120111021220 is 22120111021001.

It can be written as a sum of positive squares in 4 ways, for example, as 30536852832256 + 69583258188964 = 5526016^2 + 8341658^2 .

It is a super-2 number, since 2×100120111021220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120111021195 and 100120111021204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27025589 + ... + 30506108.

It is an arithmetic number, because the mean of its divisors is an integer number (8760610547101).

Almost surely, 2^{100120111021220} is an apocalyptic number.

100120111021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120111021220 is an abundant number, since it is smaller than the sum of its proper divisors (110134542109204).

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

100120111021220 is a wasteful number, since it uses less digits than its factorization.

100120111021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57618719 (or 57618717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100120111021220 its reverse (22120111021001), we get a palindrome (122240222042221).

The spelling of 100120111021220 in words is "one hundred trillion, one hundred twenty billion, one hundred eleven million, twenty-one thousand, two hundred twenty".