2112111010121 has 20 divisors (see below), whose sum is σ = 2464660804944. Its totient is φ = 1809882786600.

The previous prime is 2112111010081. The next prime is 2112111010133. The reversal of 2112111010121 is 1210101112112.

It is a de Polignac number, because none of the positive numbers 2^k-2112111010121 is a prime.

It is a super-2 number, since 2×2112111010121² (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 = 2112111010096 and 2112111010105.

It is not an unprimeable number, because it can be changed into a prime (2112111010181) 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 19 ways as a sum of consecutive naturals, for example, 8742926 + ... + 8981256.

Almost surely, 2^{2112111010121} is an apocalyptic number.

It is an amenable number.

2112111010121 is a deficient number, since it is larger than the sum of its proper divisors (352549794823).

2112111010121 is an frugal number, since it uses more digits than its factorization.

2112111010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242050 (or 242029 counting only the distinct ones).

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

Adding to 2112111010121 its reverse (1210101112112), we get a palindrome (3322212122233).

The spelling of 2112111010121 in words is "two trillion, one hundred twelve billion, one hundred eleven million, ten thousand, one hundred twenty-one".