110122210112101 has 16 divisors (see below), whose sum is σ = 126597661527168. Its totient is φ = 94810340152000.

The previous prime is 110122210112081. The next prime is 110122210112129. The reversal of 110122210112101 is 101211012221011.

It is a de Polignac number, because none of the positive numbers 2^k-110122210112101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110122210112141) 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, 2154754906 + ... + 2154806011.

It is an arithmetic number, because the mean of its divisors is an integer number (7912353845448).

Almost surely, 2^{110122210112101} is an apocalyptic number.

110122210112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110122210112101 is a deficient number, since it is larger than the sum of its proper divisors (16475451415067).

110122210112101 is a wasteful number, since it uses less digits than its factorization.

110122210112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309561052.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110122210112101 its reverse (101211012221011), we get a palindrome (211333222333112).

The spelling of 110122210112101 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, one hundred one".