2011122111023 has 2 divisors, whose sum is σ = 2011122111024. Its totient is φ = 2011122111022.

The previous prime is 2011122110981. The next prime is 2011122111041. The reversal of 2011122111023 is 3201112211102.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2011122111023 - 2³⁴ = 1993942241839 is a prime.

It is a super-2 number, since 2×2011122111023² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011122110992 and 2011122111010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011122111223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005561055511 + 1005561055512.

It is an arithmetic number, because the mean of its divisors is an integer number (1005561055512).

Almost surely, 2^{2011122111023} is an apocalyptic number.

2011122111023 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011122111023 is an equidigital number, since it uses as much as digits as its factorization.

2011122111023 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2011122111023 its reverse (3201112211102), we get a palindrome (5212234322125).

It can be divided in two parts, 201112211102 and 3, that multiplied together give a palindrome (603336633306).

The spelling of 2011122111023 in words is "two trillion, eleven billion, one hundred twenty-two million, one hundred eleven thousand, twenty-three".