110101100101113 has 32 divisors (see below), whose sum is σ = 164539885491072. Its totient is φ = 64907252121600.

The previous prime is 110101100101081. The next prime is 110101100101127. The reversal of 110101100101113 is 311101001101011.

It is not a de Polignac number, because 110101100101113 - 2⁵ = 110101100101081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110101100101613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120279256 + ... + 121191177.

It is an arithmetic number, because the mean of its divisors is an integer number (5141871421596).

Almost surely, 2^{110101100101113} is an apocalyptic number.

It is an amenable number.

110101100101113 is a deficient number, since it is larger than the sum of its proper divisors (54438785389959).

110101100101113 is a wasteful number, since it uses less digits than its factorization.

110101100101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241470825.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 110101100101113 its reverse (311101001101011), we get a palindrome (421202101202124).

The spelling of 110101100101113 in words is "one hundred ten trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred thirteen".