112100001121 has 16 divisors (see below), whose sum is σ = 127058846400. Its totient is φ = 98258807808.

The previous prime is 112100001119. The next prime is 112100001127. The reversal of 112100001121 is 121100001211.

It is a cyclic number.

It is not a de Polignac number, because 112100001121 - 2¹ = 112100001119 is a prime.

It is a deceptive number, since it divides R_112100001120.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112100001098 and 112100001107.

It is not an unprimeable number, because it can be changed into a prime (112100001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922120 + ... + 2960233.

It is an arithmetic number, because the mean of its divisors is an integer number (7941177900).

Almost surely, 2^112100001121 is an apocalyptic number.

It is an amenable number.

112100001121 is a deficient number, since it is larger than the sum of its proper divisors (14958845279).

112100001121 is a wasteful number, since it uses less digits than its factorization.

112100001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882448.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112100001121 its reverse (121100001211), we get a palindrome (233200002332).

It can be divided in two parts, 11210000 and 1121, that multiplied together give a square (12566410000 = 112100²).

The spelling of 112100001121 in words is "one hundred twelve billion, one hundred million, one thousand, one hundred twenty-one".