110013101121 has 96 divisors (see below), whose sum is σ = 189635005440. Its totient is φ = 56082499200.

The previous prime is 110013101089. The next prime is 110013101137. The reversal of 110013101121 is 121101310011.

It is not a de Polignac number, because 110013101121 - 2⁵ = 110013101089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110013101097 and 110013101106.

It is not an unprimeable number, because it can be changed into a prime (110013101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53953420 + ... + 53955458.

It is an arithmetic number, because the mean of its divisors is an integer number (1975364640).

Almost surely, 2^110013101121 is an apocalyptic number.

110013101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110013101121 is a deficient number, since it is larger than the sum of its proper divisors (79621904319).

110013101121 is a wasteful number, since it uses less digits than its factorization.

110013101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 110013101121 its reverse (121101310011), we get a palindrome (231114411132).

The spelling of 110013101121 in words is "one hundred ten billion, thirteen million, one hundred one thousand, one hundred twenty-one".