100111101200201 has 16 divisors (see below), whose sum is σ = 123460584240000. Its totient is φ = 79050048294528.

The previous prime is 100111101200171. The next prime is 100111101200219. The reversal of 100111101200201 is 102002101111001.

It is a cyclic number.

It is not a de Polignac number, because 100111101200201 - 2¹⁰ = 100111101199177 is a prime.

It is a super-2 number, since 2×100111101200201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100111101200261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1102281236 + ... + 1102372053.

It is an arithmetic number, because the mean of its divisors is an integer number (7716286515000).

Almost surely, 2^{100111101200201} is an apocalyptic number.

It is an amenable number.

100111101200201 is a deficient number, since it is larger than the sum of its proper divisors (23349483039799).

100111101200201 is a wasteful number, since it uses less digits than its factorization.

100111101200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204653808.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111101200201 its reverse (102002101111001), we get a palindrome (202113202311202).

The spelling of 100111101200201 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, two hundred thousand, two hundred one".