20110001022011 has 2 divisors, whose sum is σ = 20110001022012. Its totient is φ = 20110001022010.

The previous prime is 20110001021977. The next prime is 20110001022031. The reversal of 20110001022011 is 11022010001102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20110001022011 - 2³⁰ = 20108927280187 is a prime.

It is a super-2 number, since 2×20110001022011² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20110001021983 and 20110001022001.

It is not a weakly prime, because it can be changed into another prime (20110001022031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055000511005 + 10055000511006.

It is an arithmetic number, because the mean of its divisors is an integer number (10055000511006).

Almost surely, 2^{20110001022011} is an apocalyptic number.

20110001022011 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110001022011 is an equidigital number, since it uses as much as digits as its factorization.

20110001022011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20110001022011 its reverse (11022010001102), we get a palindrome (31132011023113).

The spelling of 20110001022011 in words is "twenty trillion, one hundred ten billion, one million, twenty-two thousand, eleven".