100111513201 has 32 divisors (see below), whose sum is σ = 123829083648. Its totient is φ = 79069478400.

The previous prime is 100111513193. The next prime is 100111513211. The reversal of 100111513201 is 102315111001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100111513201 - 2³ = 100111513193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111513211) 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, 518461 + ... + 684853.

It is an arithmetic number, because the mean of its divisors is an integer number (3869658864).

Almost surely, 2^100111513201 is an apocalyptic number.

It is an amenable number.

100111513201 is a deficient number, since it is larger than the sum of its proper divisors (23717570447).

100111513201 is a wasteful number, since it uses less digits than its factorization.

100111513201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166561.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 100111513201 its reverse (102315111001), we get a palindrome (202426624202).

The spelling of 100111513201 in words is "one hundred billion, one hundred eleven million, five hundred thirteen thousand, two hundred one".