21201012000011 has 2 divisors, whose sum is σ = 21201012000012. Its totient is φ = 21201012000010.

The previous prime is 21201011999969. The next prime is 21201012000013. The reversal of 21201012000011 is 11000021010212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 21201012000011 - 2²² = 21201007805707 is a prime.

It is a super-2 number, since 2×21201012000011² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 21201012000013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 21201011999956 and 21201012000001.

It is not a weakly prime, because it can be changed into another prime (21201012000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600506000005 + 10600506000006.

It is an arithmetic number, because the mean of its divisors is an integer number (10600506000006).

Almost surely, 2^{21201012000011} is an apocalyptic number.

21201012000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201012000011 is an equidigital number, since it uses as much as digits as its factorization.

21201012000011 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 21201012000011 its reverse (11000021010212), we get a palindrome (32201033010223).

The spelling of 21201012000011 in words is "twenty-one trillion, two hundred one billion, twelve million, eleven", and thus it is an aban number.