110022112121121 has 16 divisors (see below), whose sum is σ = 171574443854400. Its totient is φ = 69487649760384.

The previous prime is 110022112121081. The next prime is 110022112121123. The reversal of 110022112121121 is 121121211220011.

It is a happy number.

110022112121121 is a `hidden beast` number, since 110 + 0 + 221 + 1 + 212 + 1 + 121 = 666.

It is not a de Polignac number, because 110022112121121 - 2²² = 110022107926817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110022112121094 and 110022112121103.

It is not an unprimeable number, because it can be changed into a prime (110022112121123) 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, 107234026896 + ... + 107234027921.

It is an arithmetic number, because the mean of its divisors is an integer number (10723402740900).

Almost surely, 2^{110022112121121} is an apocalyptic number.

It is an amenable number.

110022112121121 is a deficient number, since it is larger than the sum of its proper divisors (61552331733279).

110022112121121 is a wasteful number, since it uses less digits than its factorization.

110022112121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214468054845 (or 214468054839 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110022112121121 its reverse (121121211220011), we get a palindrome (231143323341132).

The spelling of 110022112121121 in words is "one hundred ten trillion, twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty-one".