2011211110021 has 2 divisors, whose sum is σ = 2011211110022. Its totient is φ = 2011211110020.

The previous prime is 2011211109997. The next prime is 2011211110039. The reversal of 2011211110021 is 1200111121102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2010046253121 + 1164856900 = 1417761^2 + 34130^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011211110021 - 2⁷ = 2011211109893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011211109983 and 2011211110010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011211110081) 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 as a sum of consecutive naturals, namely, 1005605555010 + 1005605555011.

It is an arithmetic number, because the mean of its divisors is an integer number (1005605555011).

Almost surely, 2^{2011211110021} is an apocalyptic number.

It is an amenable number.

2011211110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011211110021 is an equidigital number, since it uses as much as digits as its factorization.

2011211110021 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 13.

Adding to 2011211110021 its reverse (1200111121102), we get a palindrome (3211322231123).

The spelling of 2011211110021 in words is "two trillion, eleven billion, two hundred eleven million, one hundred ten thousand, twenty-one".