10100002552301 has 2 divisors, whose sum is σ = 10100002552302. Its totient is φ = 10100002552300.

The previous prime is 10100002552253. The next prime is 10100002552303. The reversal of 10100002552301 is 10325520000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5300244555076 + 4799757997225 = 2302226^2 + 2190835^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100002552301 - 2²² = 10099998357997 is a prime.

Together with 10100002552303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100002552303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050001276150 + 5050001276151.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001276151).

Almost surely, 2^{10100002552301} is an apocalyptic number.

It is an amenable number.

10100002552301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100002552301 is an equidigital number, since it uses as much as digits as its factorization.

10100002552301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10100002552301 its reverse (10325520000101), we get a palindrome (20425522552402).

The spelling of 10100002552301 in words is "ten trillion, one hundred billion, two million, five hundred fifty-two thousand, three hundred one".