100112000200020 has 96 divisors (see below), whose sum is σ = 311535547344000. Its totient is φ = 26690019858432.

The previous prime is 100112000200007. The next prime is 100112000200027. The reversal of 100112000200020 is 20002000211001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100112000199975 and 100112000200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112000200027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20400909 + ... + 24827828.

It is an arithmetic number, because the mean of its divisors is an integer number (3245161951500).

Almost surely, 2^{100112000200020} is an apocalyptic number.

100112000200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112000200020 is an abundant number, since it is smaller than the sum of its proper divisors (211423547143980).

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

100112000200020 is a wasteful number, since it uses less digits than its factorization.

100112000200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45232854 (or 45232846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100112000200020 its reverse (20002000211001), we get a palindrome (120114000411021).

The spelling of 100112000200020 in words is "one hundred trillion, one hundred twelve billion, two hundred thousand, twenty".