21111010101011 has 2 divisors, whose sum is σ = 21111010101012. Its totient is φ = 21111010101010.

The previous prime is 21111010100989. The next prime is 21111010101023. The reversal of 21111010101011 is 11010101011112.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21111010101011 - 2²² = 21111005906707 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21111010100983 and 21111010101001.

It is not a weakly prime, because it can be changed into another prime (21111010161011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555505050505 + 10555505050506.

It is an arithmetic number, because the mean of its divisors is an integer number (10555505050506).

Almost surely, 2^{21111010101011} is an apocalyptic number.

21111010101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

21111010101011 is an equidigital number, since it uses as much as digits as its factorization.

21111010101011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 21111010101011 its reverse (11010101011112), we get a palindrome (32121111112123).

The spelling of 21111010101011 in words is "twenty-one trillion, one hundred eleven billion, ten million, one hundred one thousand, eleven".