10300101123353 has 2 divisors, whose sum is σ = 10300101123354. Its totient is φ = 10300101123352.

The previous prime is 10300101123293. The next prime is 10300101123383. The reversal of 10300101123353 is 35332110100301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7630118979289 + 2669982144064 = 2762267^2 + 1634008^2 .

It is a cyclic number.

It is not a de Polignac number, because 10300101123353 - 2⁶ = 10300101123289 is a prime.

It is not a weakly prime, because it can be changed into another prime (10300101123383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150050561676 + 5150050561677.

It is an arithmetic number, because the mean of its divisors is an integer number (5150050561677).

Almost surely, 2^{10300101123353} is an apocalyptic number.

It is an amenable number.

10300101123353 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300101123353 is an equidigital number, since it uses as much as digits as its factorization.

10300101123353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 23.

Adding to 10300101123353 its reverse (35332110100301), we get a palindrome (45632211223654).

The spelling of 10300101123353 in words is "ten trillion, three hundred billion, one hundred one million, one hundred twenty-three thousand, three hundred fifty-three".