112121122200121 has 8 divisors (see below), whose sum is σ = 113414365960200. Its totient is φ = 110828621904000.

The previous prime is 112121122200067. The next prime is 112121122200127. The reversal of 112121122200121 is 121002221121211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35771344237225 + 76349777962896 = 5980915^2 + 8737836^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112121122200121 - 2²⁵ = 112121088645689 is a prime.

It is a super-2 number, since 2×112121122200121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112121122200127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185562630 + ... + 186165871.

It is an arithmetic number, because the mean of its divisors is an integer number (14176795745025).

Almost surely, 2^{112121122200121} is an apocalyptic number.

It is an amenable number.

112121122200121 is a deficient number, since it is larger than the sum of its proper divisors (1293243760079).

112121122200121 is an equidigital number, since it uses as much as digits as its factorization.

112121122200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371731979.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112121122200121 its reverse (121002221121211), we get a palindrome (233123343321332).

The spelling of 112121122200121 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred twenty-one".