10200210102113 has 2 divisors, whose sum is σ = 10200210102114. Its totient is φ = 10200210102112.

The previous prime is 10200210102067. The next prime is 10200210102161. The reversal of 10200210102113 is 31120101200201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10175034567889 + 25175534224 = 3189833^2 + 158668^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200210102113 - 2⁸ = 10200210101857 is a prime.

It is a super-2 number, since 2×10200210102113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10200210102013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100105051056 + 5100105051057.

It is an arithmetic number, because the mean of its divisors is an integer number (5100105051057).

Almost surely, 2^{10200210102113} is an apocalyptic number.

It is an amenable number.

10200210102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200210102113 is an equidigital number, since it uses as much as digits as its factorization.

10200210102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10200210102113 its reverse (31120101200201), we get a palindrome (41320311302314).

The spelling of 10200210102113 in words is "ten trillion, two hundred billion, two hundred ten million, one hundred two thousand, one hundred thirteen".