10100883963253 has 2 divisors, whose sum is σ = 10100883963254. Its totient is φ = 10100883963252.

The previous prime is 10100883963239. The next prime is 10100883963257. The reversal of 10100883963253 is 35236938800101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10038492416164 + 62391547089 = 3168358^2 + 249783^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100883963253 - 2⁴¹ = 7901860707701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100883963197 and 10100883963206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100883963257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050441981626 + 5050441981627.

It is an arithmetic number, because the mean of its divisors is an integer number (5050441981627).

Almost surely, 2^{10100883963253} is an apocalyptic number.

It is an amenable number.

10100883963253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100883963253 is an equidigital number, since it uses as much as digits as its factorization.

10100883963253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 10100883963253 in words is "ten trillion, one hundred billion, eight hundred eighty-three million, nine hundred sixty-three thousand, two hundred fifty-three".