10344510262201 has 2 divisors, whose sum is σ = 10344510262202. Its totient is φ = 10344510262200.

The previous prime is 10344510262199. The next prime is 10344510262217. The reversal of 10344510262201 is 10226201544301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9375813380025 + 968696882176 = 3061995^2 + 984224^2 .

It is a cyclic number.

It is not a de Polignac number, because 10344510262201 - 2¹ = 10344510262199 is a prime.

Together with 10344510262199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10344510262301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5172255131100 + 5172255131101.

It is an arithmetic number, because the mean of its divisors is an integer number (5172255131101).

Almost surely, 2^{10344510262201} is an apocalyptic number.

It is an amenable number.

10344510262201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10344510262201 is an equidigital number, since it uses as much as digits as its factorization.

10344510262201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 10344510262201 in words is "ten trillion, three hundred forty-four billion, five hundred ten million, two hundred sixty-two thousand, two hundred one".