110111112101 has 8 divisors (see below), whose sum is σ = 111162563160. Its totient is φ = 109060411392.

The previous prime is 110111112077. The next prime is 110111112161. The reversal of 110111112101 is 101211111011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61886512900 + 48224599201 = 248770^2 + 219601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110111112101 - 2²² = 110106917797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111112161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109541 + ... + 481893.

It is an arithmetic number, because the mean of its divisors is an integer number (13895320395).

Almost surely, 2^110111112101 is an apocalyptic number.

It is an amenable number.

110111112101 is a deficient number, since it is larger than the sum of its proper divisors (1051451059).

110111112101 is a wasteful number, since it uses less digits than its factorization.

110111112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375175.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110111112101 its reverse (101211111011), we get a palindrome (211322223112).

The spelling of 110111112101 in words is "one hundred ten billion, one hundred eleven million, one hundred twelve thousand, one hundred one".