21100100011 has 2 divisors, whose sum is σ = 21100100012. Its totient is φ = 21100100010.

The previous prime is 21100099961. The next prime is 21100100017. The reversal of 21100100011 is 11000100112.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21100100011 - 2⁹ = 21100099499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21100099967 and 21100100003.

It is not a weakly prime, because it can be changed into another prime (21100100017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550050005 + 10550050006.

It is an arithmetic number, because the mean of its divisors is an integer number (10550050006).

Almost surely, 2^21100100011 is an apocalyptic number.

21100100011 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100100011 is an equidigital number, since it uses as much as digits as its factorization.

21100100011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 21100100011 its reverse (11000100112), we get a palindrome (32100200123).

The spelling of 21100100011 in words is "twenty-one billion, one hundred million, one hundred thousand, eleven".