10300414201001 has 2 divisors, whose sum is σ = 10300414201002. Its totient is φ = 10300414201000.

The previous prime is 10300414200983. The next prime is 10300414201039. The reversal of 10300414201001 is 10010241400301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10298810598976 + 1603602025 = 3209176^2 + 40045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10300414201001 - 2²² = 10300410006697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10300414206001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150207100500 + 5150207100501.

It is an arithmetic number, because the mean of its divisors is an integer number (5150207100501).

Almost surely, 2^{10300414201001} is an apocalyptic number.

It is an amenable number.

10300414201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300414201001 is an equidigital number, since it uses as much as digits as its factorization.

10300414201001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10300414201001 its reverse (10010241400301), we get a palindrome (20310655601302).

The spelling of 10300414201001 in words is "ten trillion, three hundred billion, four hundred fourteen million, two hundred one thousand, one".