2112011011121 has 8 divisors (see below), whose sum is σ = 2327764714464. Its totient is φ = 1900216091520.

The previous prime is 2112011011087. The next prime is 2112011011139. The reversal of 2112011011121 is 1211101102112.

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 2112011011121 - 2¹⁸ = 2112010748977 is a prime.

It is a super-2 number, since 2×2112011011121² (a number of 25 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 = 2112011011096 and 2112011011105.

It is not an unprimeable number, because it can be changed into a prime (2112011011421) 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, 989694815 + ... + 989696948.

It is an arithmetic number, because the mean of its divisors is an integer number (290970589308).

Almost surely, 2^{2112011011121} is an apocalyptic number.

It is an amenable number.

2112011011121 is a deficient number, since it is larger than the sum of its proper divisors (215753703343).

2112011011121 is a wasteful number, since it uses less digits than its factorization.

2112011011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979391871.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2112011011121 its reverse (1211101102112), we get a palindrome (3323112113233).

Subtracting from 2112011011121 its reverse (1211101102112), we obtain a palindrome (900909909009).

The spelling of 2112011011121 in words is "two trillion, one hundred twelve billion, eleven million, eleven thousand, one hundred twenty-one".