110022122012121 has 48 divisors (see below), whose sum is σ = 179196909503040. Its totient is φ = 64475314416000.

The previous prime is 110022122012069. The next prime is 110022122012137. The reversal of 110022122012121 is 121210221220011.

110022122012121 is a `hidden beast` number, since 1 + 10 + 0 + 221 + 220 + 1 + 212 + 1 = 666.

It is not a de Polignac number, because 110022122012121 - 2²⁵ = 110022088457689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110022122012094 and 110022122012103.

It is not an unprimeable number, because it can be changed into a prime (110022122012321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154038610 + ... + 154751211.

It is an arithmetic number, because the mean of its divisors is an integer number (3733268947980).

Almost surely, 2^{110022122012121} is an apocalyptic number.

110022122012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110022122012121 is a deficient number, since it is larger than the sum of its proper divisors (69174787490919).

110022122012121 is a wasteful number, since it uses less digits than its factorization.

110022122012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308789958 (or 308789955 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110022122012121 its reverse (121210221220011), we get a palindrome (231232343232132).

The spelling of 110022122012121 in words is "one hundred ten trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, one hundred twenty-one".