112121101121211 has 144 divisors (see below), whose sum is σ = 216909780220224. Its totient is φ = 54157544275968.

The previous prime is 112121101121207. The next prime is 112121101121243.

112121101121211 is a `hidden beast` number, since 1 + 121 + 211 + 0 + 1 + 121 + 211 = 666.

112121101121211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112121101121211 - 2² = 112121101121207 is a prime.

It is a super-2 number, since 2×112121101121211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112121101121261) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16119411 + ... + 22001763.

It is an arithmetic number, because the mean of its divisors is an integer number (1506317918196).

Almost surely, 2^{112121101121211} is an apocalyptic number.

112121101121211 is a deficient number, since it is larger than the sum of its proper divisors (104788679099013).

112121101121211 is a wasteful number, since it uses less digits than its factorization.

112121101121211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882470 (or 5882430 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

It can be divided in two parts, 11212110 and 1121211, that added together give a palindrome (12333321).

The spelling of 112121101121211 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-one thousand, two hundred eleven".