110110113101 has 2 divisors, whose sum is σ = 110110113102. Its totient is φ = 110110113100.

The previous prime is 110110113089. The next prime is 110110113119. The reversal of 110110113101 is 101311011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 108487231876 + 1622881225 = 329374^2 + 40285^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110110113101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110113131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055056550 + 55055056551.

It is an arithmetic number, because the mean of its divisors is an integer number (55055056551).

Almost surely, 2^110110113101 is an apocalyptic number.

It is an amenable number.

110110113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110113101 is an equidigital number, since it uses as much as digits as its factorization.

110110113101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 110110113101 its reverse (101311011011), we get a palindrome (211421124112).

The spelling of 110110113101 in words is "one hundred ten billion, one hundred ten million, one hundred thirteen thousand, one hundred one".