10035682272001 has 4 divisors (see below), whose sum is σ = 10042404096852. Its totient is φ = 10028960447152.

The previous prime is 10035682271999. The next prime is 10035682272059. The reversal of 10035682272001 is 10027228653001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3375024591376 + 6660657680625 = 1837124^2 + 2580825^2 .

It is a cyclic number.

It is not a de Polignac number, because 10035682272001 - 2¹ = 10035682271999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10035682272071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3360910186 + ... + 3360913171.

It is an arithmetic number, because the mean of its divisors is an integer number (2510601024213).

Almost surely, 2^{10035682272001} is an apocalyptic number.

It is an amenable number.

10035682272001 is a deficient number, since it is larger than the sum of its proper divisors (6721824851).

10035682272001 is an equidigital number, since it uses as much as digits as its factorization.

10035682272001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721824850.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10035682272001 in words is "ten trillion, thirty-five billion, six hundred eighty-two million, two hundred seventy-two thousand, one".