100112222020000 has 120 divisors (see below), whose sum is σ = 246305524230612. Its totient is φ = 40042540800000.

The previous prime is 100112222019983. The next prime is 100112222020079. The reversal of 100112222020000 is 20222211001.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 913729515664 + 99198492504336 = 955892^2 + 9959844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 363482340 + ... + 363757660.

Almost surely, 2^{100112222020000} is an apocalyptic number.

100112222020000 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 100112222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123152762115306).

100112222020000 is an abundant number, since it is smaller than the sum of its proper divisors (146193302210612).

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

100112222020000 is an equidigital number, since it uses as much as digits as its factorization.

100112222020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293532 (or 293509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100112222020000 its reverse (20222211001), we get a palindrome (100132444231001).

The spelling of 100112222020000 in words is "one hundred trillion, one hundred twelve billion, two hundred twenty-two million, twenty thousand".