10245344354201 has 32 divisors (see below), whose sum is σ = 11896561404288. Its totient is φ = 8719889597440.

The previous prime is 10245344354191. The next prime is 10245344354243.

10245344354201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10245344354201 - 2¹⁰ = 10245344353177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10245344354501) 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 in 31 ways as a sum of consecutive naturals, for example, 214121186 + ... + 214169028.

It is an arithmetic number, because the mean of its divisors is an integer number (371767543884).

Almost surely, 2^{10245344354201} is an apocalyptic number.

10245344354201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10245344354201 is a deficient number, since it is larger than the sum of its proper divisors (1651217050087).

10245344354201 is a wasteful number, since it uses less digits than its factorization.

10245344354201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53881.

The product of its (nonzero) digits is 230400, while the sum is 38.

It can be divided in two parts, 1024534 and 4354201, that added together give a palindrome (5378735).

The spelling of 10245344354201 in words is "ten trillion, two hundred forty-five billion, three hundred forty-four million, three hundred fifty-four thousand, two hundred one".