110111022121113 has 48 divisors (see below), whose sum is σ = 172985544133584. Its totient is φ = 67087461772800.

The previous prime is 110111022121109. The next prime is 110111022121189. The reversal of 110111022121113 is 311121220111011.

110111022121113 is a `hidden beast` number, since 110 + 1 + 110 + 221 + 211 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 515311493904 + 109595710627209 = 717852^2 + 10468797^2 .

It is not a de Polignac number, because 110111022121113 - 2² = 110111022121109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110111022121103) 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 47 ways as a sum of consecutive naturals, for example, 389973495 + ... + 390255747.

It is an arithmetic number, because the mean of its divisors is an integer number (3603865502783).

Almost surely, 2^{110111022121113} is an apocalyptic number.

110111022121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110111022121113 is a deficient number, since it is larger than the sum of its proper divisors (62874522012471).

110111022121113 is a wasteful number, since it uses less digits than its factorization.

110111022121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315386 (or 315383 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 110111022121113 its reverse (311121220111011), we get a palindrome (421232242232124).

The spelling of 110111022121113 in words is "one hundred ten trillion, one hundred eleven billion, twenty-two million, one hundred twenty-one thousand, one hundred thirteen".