112220110101121 has 16 divisors (see below), whose sum is σ = 125199024595200. Its totient is φ = 99729615024000.

The previous prime is 112220110101107. The next prime is 112220110101157. The reversal of 112220110101121 is 121101011022211.

It is a cyclic number.

It is not a de Polignac number, because 112220110101121 - 2⁷ = 112220110100993 is a prime.

It is a super-2 number, since 2×112220110101121² (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 = 112220110101095 and 112220110101104.

It is not an unprimeable number, because it can be changed into a prime (112220110171121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639204636 + ... + 639380173.

It is an arithmetic number, because the mean of its divisors is an integer number (7824939037200).

Almost surely, 2^{112220110101121} is an apocalyptic number.

112220110101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112220110101121 is a deficient number, since it is larger than the sum of its proper divisors (12978914494079).

112220110101121 is a wasteful number, since it uses less digits than its factorization.

112220110101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278585000.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112220110101121 its reverse (121101011022211), we get a palindrome (233321121123332).

The spelling of 112220110101121 in words is "one hundred twelve trillion, two hundred twenty billion, one hundred ten million, one hundred one thousand, one hundred twenty-one".