202122010101113 has 2 divisors, whose sum is σ = 202122010101114. Its totient is φ = 202122010101112.

The previous prime is 202122010101061. The next prime is 202122010101119. The reversal of 202122010101113 is 311101010221202.

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., 135542497321984 + 66579512779129 = 11642272^2 + 8159627^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122010101113 - 2³⁰ = 202120936359289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202122010101091 and 202122010101100.

It is not a weakly prime, because it can be changed into another prime (202122010101119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061005050556 + 101061005050557.

It is an arithmetic number, because the mean of its divisors is an integer number (101061005050557).

Almost surely, 2^{202122010101113} is an apocalyptic number.

It is an amenable number.

202122010101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122010101113 is an equidigital number, since it uses as much as digits as its factorization.

202122010101113 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 17.

Adding to 202122010101113 its reverse (311101010221202), we get a palindrome (513223020322315).

The spelling of 202122010101113 in words is "two hundred two trillion, one hundred twenty-two billion, ten million, one hundred one thousand, one hundred thirteen".