100112100201020 has 96 divisors (see below), whose sum is σ = 222034054556160. Its totient is φ = 37839731283200.

The previous prime is 100112100201011. The next prime is 100112100201073. The reversal of 100112100201020 is 20102001211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112100200992 and 100112100201010.

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, 628019486 + ... + 628178874.

It is an arithmetic number, because the mean of its divisors is an integer number (2312854734960).

Almost surely, 2^{100112100201020} is an apocalyptic number.

100112100201020 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 100112100201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111017027278080).

100112100201020 is an abundant number, since it is smaller than the sum of its proper divisors (121921954355140).

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

100112100201020 is a wasteful number, since it uses less digits than its factorization.

100112100201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175955 (or 175953 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100112100201020 its reverse (20102001211001), we get a palindrome (120214101412021).

The spelling of 100112100201020 in words is "one hundred trillion, one hundred twelve billion, one hundred million, two hundred one thousand, twenty".