10100202013301 has 16 divisors (see below), whose sum is σ = 10438938306048. Its totient is φ = 9762277075200.

The previous prime is 10100202013261. The next prime is 10100202013303. The reversal of 10100202013301 is 10331020200101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100202013301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100202013303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189388826 + ... + 189442148.

It is an arithmetic number, because the mean of its divisors is an integer number (652433644128).

Almost surely, 2^{10100202013301} is an apocalyptic number.

It is an amenable number.

10100202013301 is a deficient number, since it is larger than the sum of its proper divisors (338736292747).

10100202013301 is an equidigital number, since it uses as much as digits as its factorization.

10100202013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60812.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10100202013301 its reverse (10331020200101), we get a palindrome (20431222213402).

The spelling of 10100202013301 in words is "ten trillion, one hundred billion, two hundred two million, thirteen thousand, three hundred one".