110122221121 has 96 divisors (see below), whose sum is σ = 134656984224. Its totient is φ = 89616384000.

The previous prime is 110122221119. The next prime is 110122221137. The reversal of 110122221121 is 121122221011.

It can be written as a sum of positive squares in 16 ways, for example, as 6237840400 + 103884380721 = 78980^2 + 322311^2 .

It is not a de Polignac number, because 110122221121 - 2¹ = 110122221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110122221095 and 110122221104.

It is not an unprimeable number, because it can be changed into a prime (110122221721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 803811765 + ... + 803811901.

It is an arithmetic number, because the mean of its divisors is an integer number (1402676919).

Almost surely, 2^110122221121 is an apocalyptic number.

110122221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110122221121 is a deficient number, since it is larger than the sum of its proper divisors (24534763103).

110122221121 is a wasteful number, since it uses less digits than its factorization.

110122221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110122221121 its reverse (121122221011), we get a palindrome (231244442132).

It can be divided in two parts, 1101 and 22221121, that added together give a palindrome (22222222).

The spelling of 110122221121 in words is "one hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".