10201200222113 has 2 divisors, whose sum is σ = 10201200222114. Its totient is φ = 10201200222112.

The previous prime is 10201200222091. The next prime is 10201200222121. The reversal of 10201200222113 is 31122200210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6731388738064 + 3469811484049 = 2594492^2 + 1862743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201200222113 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 = 10201200222091 and 10201200222100.

It is not a weakly prime, because it can be changed into another prime (10201200222173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100600111056 + 5100600111057.

It is an arithmetic number, because the mean of its divisors is an integer number (5100600111057).

Almost surely, 2^{10201200222113} is an apocalyptic number.

It is an amenable number.

10201200222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201200222113 is an equidigital number, since it uses as much as digits as its factorization.

10201200222113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10201200222113 its reverse (31122200210201), we get a palindrome (41323400432314).

The spelling of 10201200222113 in words is "ten trillion, two hundred one billion, two hundred million, two hundred twenty-two thousand, one hundred thirteen".