10021333312001 has 16 divisors (see below), whose sum is σ = 11049211712448. Its totient is φ = 9013070232000.

The previous prime is 10021333311949. The next prime is 10021333312007.

10021333312001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10021333312001 - 2¹⁸ = 10021333049857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021333312007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2089826 + ... + 4940651.

It is an arithmetic number, because the mean of its divisors is an integer number (690575732028).

Almost surely, 2^{10021333312001} is an apocalyptic number.

10021333312001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021333312001 is a deficient number, since it is larger than the sum of its proper divisors (1027878400447).

10021333312001 is a wasteful number, since it uses less digits than its factorization.

10021333312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7031872.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1002133 and 3312001, that added together give a palindrome (4314134).

The spelling of 10021333312001 in words is "ten trillion, twenty-one billion, three hundred thirty-three million, three hundred twelve thousand, one".