2011122111091 has 2 divisors, whose sum is σ = 2011122111092. Its totient is φ = 2011122111090.

The previous prime is 2011122111049. The next prime is 2011122111133. The reversal of 2011122111091 is 1901112211102.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2011122111049) and next prime (2011122111133).

It is a cyclic number.

It is not a de Polignac number, because 2011122111091 - 2²⁷ = 2010987893363 is a prime.

It is a super-2 number, since 2×2011122111091² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2011122111041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005561055545 + 1005561055546.

It is an arithmetic number, because the mean of its divisors is an integer number (1005561055546).

Almost surely, 2^{2011122111091} is an apocalyptic number.

2011122111091 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011122111091 is an equidigital number, since it uses as much as digits as its factorization.

2011122111091 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

Adding to 2011122111091 its reverse (1901112211102), we get a palindrome (3912234322193).

The spelling of 2011122111091 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, ninety-one".