10201201314461 has 2 divisors, whose sum is σ = 10201201314462. Its totient is φ = 10201201314460.

The previous prime is 10201201314379. The next prime is 10201201314467. The reversal of 10201201314461 is 16441310210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9160125964900 + 1041075349561 = 3026570^2 + 1020331^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201201314461 - 2³⁰ = 10200127572637 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201201314461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201201314467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100600657230 + 5100600657231.

It is an arithmetic number, because the mean of its divisors is an integer number (5100600657231).

Almost surely, 2^{10201201314461} is an apocalyptic number.

It is an amenable number.

10201201314461 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201201314461 is an equidigital number, since it uses as much as digits as its factorization.

10201201314461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 10201201314461 its reverse (16441310210201), we get a palindrome (26642511524662).

The spelling of 10201201314461 in words is "ten trillion, two hundred one billion, two hundred one million, three hundred fourteen thousand, four hundred sixty-one".