2111111002121 has 16 divisors (see below), whose sum is σ = 2306090262528. Its totient is φ = 1916642624400.

The previous prime is 2111111002109. The next prime is 2111111002141. The reversal of 2111111002121 is 1212001111112.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2111111002121 is a prime.

It is a super-3 number, since 3×2111111002121³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2111111002096 and 2111111002105.

It is not an unprimeable number, because it can be changed into a prime (2111111002141) 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, 57550616 + ... + 57587286.

It is an arithmetic number, because the mean of its divisors is an integer number (144130641408).

Almost surely, 2^{2111111002121} is an apocalyptic number.

It is an amenable number.

2111111002121 is a deficient number, since it is larger than the sum of its proper divisors (194979260407).

2111111002121 is a wasteful number, since it uses less digits than its factorization.

2111111002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43492.

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

Adding to 2111111002121 its reverse (1212001111112), we get a palindrome (3323112113233).

The spelling of 2111111002121 in words is "two trillion, one hundred eleven billion, one hundred eleven million, two thousand, one hundred twenty-one".