110122101221011 has 24 divisors (see below), whose sum is σ = 122378662879200. Its totient is φ = 99012334101120.

The previous prime is 110122101220987. The next prime is 110122101221047.

110122101221011 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-110122101221011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110122101221051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8906655 + ... + 17308168.

It is an arithmetic number, because the mean of its divisors is an integer number (5099110953300).

Almost surely, 2^{110122101221011} is an apocalyptic number.

110122101221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110122101221011 is a deficient number, since it is larger than the sum of its proper divisors (12256561658189).

110122101221011 is a wasteful number, since it uses less digits than its factorization.

110122101221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26215227 (or 26215216 counting only the distinct ones).

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

It can be divided in two parts, 11012210 and 1221011, that added together give a palindrome (12233221).

The spelling of 110122101221011 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, eleven".