110111120012101 has 24 divisors (see below), whose sum is σ = 119364830512200. Its totient is φ = 101528504303616.

The previous prime is 110111120012071. The next prime is 110111120012107. The reversal of 110111120012101 is 101210021111011.

It can be written as a sum of positive squares in 12 ways, for example, as 8438705453025 + 101672414559076 = 2904945^2 + 10083274^2 .

It is not a de Polignac number, because 110111120012101 - 2⁷ = 110111120011973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111120012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558861061 + ... + 559058053.

It is an arithmetic number, because the mean of its divisors is an integer number (4973534604675).

Almost surely, 2^{110111120012101} is an apocalyptic number.

It is an amenable number.

110111120012101 is a deficient number, since it is larger than the sum of its proper divisors (9253710500099).

110111120012101 is a wasteful number, since it uses less digits than its factorization.

110111120012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200665 (or 200652 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110111120012101 its reverse (101210021111011), we get a palindrome (211321141123112).

The spelling of 110111120012101 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twenty million, twelve thousand, one hundred one".