100100100200112 has 60 divisors (see below), whose sum is σ = 280142229578640. Its totient is φ = 33366583707264.

The previous prime is 100100100200101. The next prime is 100100100200153. The reversal of 100100100200112 is 211002001001001.

It is a happy number.

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 = 100100100200094 and 100100100200103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46806573 + ... + 48898419.

It is an arithmetic number, because the mean of its divisors is an integer number (4669037159644).

Almost surely, 2^{100100100200112} is an apocalyptic number.

100100100200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100100200112 is an abundant number, since it is smaller than the sum of its proper divisors (180042129378528).

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

100100100200112 is a wasteful number, since it uses less digits than its factorization.

100100100200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424170 (or 2424161 counting only the distinct ones).

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

Adding to 100100100200112 its reverse (211002001001001), we get a palindrome (311102101201113).

The spelling of 100100100200112 in words is "one hundred trillion, one hundred billion, one hundred million, two hundred thousand, one hundred twelve".