100110202011220 has 48 divisors (see below), whose sum is σ = 212442045918480. Its totient is φ = 39623178276864.

The previous prime is 100110202011187. The next prime is 100110202011247. The reversal of 100110202011220 is 22110202011001.

It can be written as a sum of positive squares in 8 ways, for example, as 20381089469764 + 79729112541456 = 4514542^2 + 8929116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100110202011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4267482 + ... + 14779438.

It is an arithmetic number, because the mean of its divisors is an integer number (4425875956635).

Almost surely, 2^{100110202011220} is an apocalyptic number.

100110202011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110202011220 is an abundant number, since it is smaller than the sum of its proper divisors (112331843907260).

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

100110202011220 is a wasteful number, since it uses less digits than its factorization.

100110202011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516972 (or 10516970 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100110202011220 its reverse (22110202011001), we get a palindrome (122220404022221).

The spelling of 100110202011220 in words is "one hundred trillion, one hundred ten billion, two hundred two million, eleven thousand, two hundred twenty".