112100112121 has 8 divisors (see below), whose sum is σ = 113133768264. Its totient is φ = 111070502400.

The previous prime is 112100112053. The next prime is 112100112133. The reversal of 112100112121 is 121211001211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18501440400 + 93598671721 = 136020^2 + 305939^2 .

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 112100112121 - 2⁹ = 112100111609 is a prime.

It is a super-2 number, since 2×112100112121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112100112151) 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, 955930 + ... + 1066771.

It is an arithmetic number, because the mean of its divisors is an integer number (14141721033).

Almost surely, 2^112100112121 is an apocalyptic number.

It is an amenable number.

112100112121 is a deficient number, since it is larger than the sum of its proper divisors (1033656143).

112100112121 is a wasteful number, since it uses less digits than its factorization.

112100112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023211.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112100112121 its reverse (121211001211), we get a palindrome (233311113332).

The spelling of 112100112121 in words is "one hundred twelve billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".