10245666654201 has 64 divisors (see below), whose sum is σ = 16270641792000. Its totient is φ = 5667016608000.

The previous prime is 10245666654193. The next prime is 10245666654241.

It is a happy number.

10245666654201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10245666654201 - 2³ = 10245666654193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10245666654241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156750 + ... + 4529448.

It is an arithmetic number, because the mean of its divisors is an integer number (254228778000).

Almost surely, 2^{10245666654201} is an apocalyptic number.

10245666654201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10245666654201 is a deficient number, since it is larger than the sum of its proper divisors (6024975137799).

10245666654201 is a wasteful number, since it uses less digits than its factorization.

10245666654201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4372870.

The product of its (nonzero) digits is 2073600, while the sum is 48.

It can be divided in two parts, 1024566 and 6654201, that added together give a palindrome (7678767).

The spelling of 10245666654201 in words is "ten trillion, two hundred forty-five billion, six hundred sixty-six million, six hundred fifty-four thousand, two hundred one".