110122112121019 has 16 divisors (see below), whose sum is σ = 111878435015424. Its totient is φ = 108376059484000.

The previous prime is 110122112120989. The next prime is 110122112121101. The reversal of 110122112121019 is 910121211221011.

It is a cyclic number.

It is not a de Polignac number, because 110122112121019 - 2²³ = 110122103732411 is a prime.

It is a super-2 number, since 2×110122112121019² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110122112120984 and 110122112121002.

It is not an unprimeable number, because it can be changed into a prime (110122112121419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458529069 + ... + 458769169.

It is an arithmetic number, because the mean of its divisors is an integer number (6992402188464).

Almost surely, 2^{110122112121019} is an apocalyptic number.

110122112121019 is a deficient number, since it is larger than the sum of its proper divisors (1756322894405).

110122112121019 is a wasteful number, since it uses less digits than its factorization.

110122112121019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261458.

The product of its (nonzero) digits is 144, while the sum is 25.

The spelling of 110122112121019 in words is "one hundred ten trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, nineteen".