100200100211113 has 32 divisors (see below), whose sum is σ = 116701123818240. Its totient is φ = 84259226419200.

The previous prime is 100200100211053. The next prime is 100200100211117. The reversal of 100200100211113 is 311112001002001.

It is a happy number.

It is not a de Polignac number, because 100200100211113 - 2³³ = 100191510276521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200100211093 and 100200100211102.

It is not an unprimeable number, because it can be changed into a prime (100200100211117) 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, 91516018 + ... + 92604436.

It is an arithmetic number, because the mean of its divisors is an integer number (3646910119320).

Almost surely, 2^{100200100211113} is an apocalyptic number.

It is an amenable number.

100200100211113 is a deficient number, since it is larger than the sum of its proper divisors (16501023607127).

100200100211113 is a wasteful number, since it uses less digits than its factorization.

100200100211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089457.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100200100211113 its reverse (311112001002001), we get a palindrome (411312101213114).

The spelling of 100200100211113 in words is "one hundred trillion, two hundred billion, one hundred million, two hundred eleven thousand, one hundred thirteen".