110100102113 has 16 divisors (see below), whose sum is σ = 113238343680. Its totient is φ = 106988760144.

The previous prime is 110100102109. The next prime is 110100102137. The reversal of 110100102113 is 311201001011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110100102113 - 2² = 110100102109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110100102094 and 110100102103.

It is not an unprimeable number, because it can be changed into a prime (110100102143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21505568 + ... + 21510686.

It is an arithmetic number, because the mean of its divisors is an integer number (7077396480).

Almost surely, 2^110100102113 is an apocalyptic number.

It is an amenable number.

110100102113 is a deficient number, since it is larger than the sum of its proper divisors (3138241567).

110100102113 is a wasteful number, since it uses less digits than its factorization.

110100102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 110100102113 its reverse (311201001011), we get a palindrome (421301103124).

The spelling of 110100102113 in words is "one hundred ten billion, one hundred million, one hundred two thousand, one hundred thirteen".