21200021210113 has 2 divisors, whose sum is σ = 21200021210114. Its totient is φ = 21200021210112.

The previous prime is 21200021210051. The next prime is 21200021210161. The reversal of 21200021210113 is 31101212000212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18719182005489 + 2480839204624 = 4326567^2 + 1575068^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21200021210113 is a prime.

It is not a weakly prime, because it can be changed into another prime (21200021210413) 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, 10600010605056 + 10600010605057.

It is an arithmetic number, because the mean of its divisors is an integer number (10600010605057).

Almost surely, 2^{21200021210113} is an apocalyptic number.

It is an amenable number.

21200021210113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21200021210113 is an equidigital number, since it uses as much as digits as its factorization.

21200021210113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21200021210113 its reverse (31101212000212), we get a palindrome (52301233210325).

The spelling of 21200021210113 in words is "twenty-one trillion, two hundred billion, twenty-one million, two hundred ten thousand, one hundred thirteen".