21202011102113 has 2 divisors, whose sum is σ = 21202011102114. Its totient is φ = 21202011102112.

The previous prime is 21202011102091. The next prime is 21202011102121. The reversal of 21202011102113 is 31120111020212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15440129348449 + 5761881753664 = 3929393^2 + 2400392^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202011102113 - 2³⁰ = 21200937360289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21202011102091 and 21202011102100.

It is not a weakly prime, because it can be changed into another prime (21202011102163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601005551056 + 10601005551057.

It is an arithmetic number, because the mean of its divisors is an integer number (10601005551057).

Almost surely, 2^{21202011102113} is an apocalyptic number.

It is an amenable number.

21202011102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202011102113 is an equidigital number, since it uses as much as digits as its factorization.

21202011102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 21202011102113 its reverse (31120111020212), we get a palindrome (52322122122325).

The spelling of 21202011102113 in words is "twenty-one trillion, two hundred two billion, eleven million, one hundred two thousand, one hundred thirteen".