21000100010011 has 2 divisors, whose sum is σ = 21000100010012. Its totient is φ = 21000100010010.

The previous prime is 21000100009957. The next prime is 21000100010041. The reversal of 21000100010011 is 11001000100012.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21000100010011 - 2⁷ = 21000100009883 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21000100009976 and 21000100010003.

It is not a weakly prime, because it can be changed into another prime (21000100010041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500050005005 + 10500050005006.

It is an arithmetic number, because the mean of its divisors is an integer number (10500050005006).

Almost surely, 2^{21000100010011} is an apocalyptic number.

21000100010011 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000100010011 is an equidigital number, since it uses as much as digits as its factorization.

21000100010011 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 7.

Adding to 21000100010011 its reverse (11001000100012), we get a palindrome (32001100110023).

Subtracting from 21000100010011 its reverse (11001000100012), we obtain a palindrome (9999099909999).

The spelling of 21000100010011 in words is "twenty-one trillion, one hundred million, ten thousand, eleven".