100112100201000 has 128 divisors (see below), whose sum is σ = 347055280790400. Its totient is φ = 26696560046400.

The previous prime is 100112100200963. The next prime is 100112100201011. The reversal of 100112100201000 is 102001211001.

It is a happy number.

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

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, 1853900782 + ... + 1853954781.

It is an arithmetic number, because the mean of its divisors is an integer number (2711369381175).

Almost surely, 2^{100112100201000} is an apocalyptic number.

100112100201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112100201000 is an abundant number, since it is smaller than the sum of its proper divisors (246943180589400).

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

100112100201000 is a wasteful number, since it uses less digits than its factorization.

100112100201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707855593 (or 3707855573 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100112100201000 its reverse (102001211001), we get a palindrome (100214101412001).

The spelling of 100112100201000 in words is "one hundred trillion, one hundred twelve billion, one hundred million, two hundred one thousand".