12111100101 has 64 divisors (see below), whose sum is σ = 19265817600. Its totient is φ = 7492681728.

The previous prime is 12111100081. The next prime is 12111100103. The reversal of 12111100101 is 10100111121.

It is not a de Polignac number, because 12111100101 - 2¹⁴ = 12111083717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111100103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12395725 + ... + 12396701.

It is an arithmetic number, because the mean of its divisors is an integer number (301028400).

Almost surely, 2^12111100101 is an apocalyptic number.

It is an amenable number.

12111100101 is a deficient number, since it is larger than the sum of its proper divisors (7154717499).

12111100101 is a wasteful number, since it uses less digits than its factorization.

12111100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12111100101 its reverse (10100111121), we get a palindrome (22211211222).

The spelling of 12111100101 in words is "twelve billion, one hundred eleven million, one hundred thousand, one hundred one".