110122122110120 has 64 divisors (see below), whose sum is σ = 255285219021840. Its totient is φ = 42726079129600.

The previous prime is 110122122109843. The next prime is 110122122110137. The reversal of 110122122110120 is 21011221221011.

It can be written as a sum of positive squares in 8 ways, for example, as 40780561753156 + 69341560356964 = 6385966^2 + 8327158^2 .

It is a super-2 number, since 2×110122122110120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193784591 + ... + 194352030.

Almost surely, 2^{110122122110120} is an apocalyptic number.

110122122110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122122110120 is an abundant number, since it is smaller than the sum of its proper divisors (145163096911720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110122122110120 is a wasteful number, since it uses less digits than its factorization.

110122122110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388136846 (or 388136842 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110122122110120 its reverse (21011221221011), we get a palindrome (131133343331131).

The spelling of 110122122110120 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".