100112111201 has 16 divisors (see below), whose sum is σ = 104879591424. Its totient is φ = 95379954384.

The previous prime is 100112111173. The next prime is 100112111249. The reversal of 100112111201 is 102111211001.

It is a cyclic number.

It is not a de Polignac number, because 100112111201 - 2¹⁰ = 100112110177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100112111261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6176630 + ... + 6192816.

It is an arithmetic number, because the mean of its divisors is an integer number (6554974464).

Almost surely, 2^100112111201 is an apocalyptic number.

It is an amenable number.

100112111201 is a deficient number, since it is larger than the sum of its proper divisors (4767480223).

100112111201 is a wasteful number, since it uses less digits than its factorization.

100112111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17260.

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

Adding to 100112111201 its reverse (102111211001), we get a palindrome (202223322202).

It can be divided in two parts, 10011 and 2111201, that added together give a palindrome (2121212).

The spelling of 100112111201 in words is "one hundred billion, one hundred twelve million, one hundred eleven thousand, two hundred one".