2111122011 has 16 divisors (see below), whose sum is σ = 2868912000. Its totient is φ = 1380479808.

The previous prime is 2111122003. The next prime is 2111122031. The reversal of 2111122011 is 1102211112.

It is not a de Polignac number, because 2111122011 - 2³ = 2111122003 is a prime.

It is a super-2 number, since 2×2111122011² = 8913672290657368242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2111122031) 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 15 ways as a sum of consecutive naturals, for example, 67840 + ... + 93938.

It is an arithmetic number, because the mean of its divisors is an integer number (179307000).

Almost surely, 2^2111122011 is an apocalyptic number.

2111122011 is a deficient number, since it is larger than the sum of its proper divisors (757789989).

2111122011 is a wasteful number, since it uses less digits than its factorization.

2111122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26618.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2111122011 is about 45946.9477876387. The cubic root of 2111122011 is about 1282.8359182236.

Adding to 2111122011 its reverse (1102211112), we get a palindrome (3213333123).

The spelling of 2111122011 in words is "two billion, one hundred eleven million, one hundred twenty-two thousand, eleven".