101200111201 has 16 divisors (see below), whose sum is σ = 116061289344. Its totient is φ = 86440126464.

The previous prime is 101200111171. The next prime is 101200111213. The reversal of 101200111201 is 102111002101.

It is a cyclic number.

It is not a de Polignac number, because 101200111201 - 2²⁵ = 101166556769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101200111601) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8876961 + ... + 8888353.

It is an arithmetic number, because the mean of its divisors is an integer number (7253830584).

Almost surely, 2^101200111201 is an apocalyptic number.

It is an amenable number.

101200111201 is a deficient number, since it is larger than the sum of its proper divisors (14861178143).

101200111201 is a wasteful number, since it uses less digits than its factorization.

101200111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15720.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101200111201 its reverse (102111002101), we get a palindrome (203311113302).

The spelling of 101200111201 in words is "one hundred one billion, two hundred million, one hundred eleven thousand, two hundred one".