10100202000113 has 2 divisors, whose sum is σ = 10100202000114. Its totient is φ = 10100202000112.

The previous prime is 10100202000019. The next prime is 10100202000151. The reversal of 10100202000113 is 31100020200101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5602651128064 + 4497550872049 = 2366992^2 + 2120743^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100202000113 - 2²⁸ = 10099933564657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100202000094 and 10100202000103.

It is not a weakly prime, because it can be changed into another prime (10100202000193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050101000056 + 5050101000057.

It is an arithmetic number, because the mean of its divisors is an integer number (5050101000057).

Almost surely, 2^{10100202000113} is an apocalyptic number.

It is an amenable number.

10100202000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100202000113 is an equidigital number, since it uses as much as digits as its factorization.

10100202000113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10100202000113 its reverse (31100020200101), we get a palindrome (41200222200214).

The spelling of 10100202000113 in words is "ten trillion, one hundred billion, two hundred two million, one hundred thirteen", and thus it is an aban number.