10012012001321 has 32 divisors (see below), whose sum is σ = 11557520916480. Its totient is φ = 8587355918400.

The previous prime is 10012012001297. The next prime is 10012012001351. The reversal of 10012012001321 is 12310021021001.

It is a cyclic number.

It is not a de Polignac number, because 10012012001321 - 2²² = 10012007807017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012012001296 and 10012012001305.

It is not an unprimeable number, because it can be changed into a prime (10012012001351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8931440 + ... + 9989726.

It is an arithmetic number, because the mean of its divisors is an integer number (361172528640).

Almost surely, 2^{10012012001321} is an apocalyptic number.

10012012001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012012001321 is a deficient number, since it is larger than the sum of its proper divisors (1545508915159).

10012012001321 is a wasteful number, since it uses less digits than its factorization.

10012012001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059005.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10012012001321 its reverse (12310021021001), we get a palindrome (22322033022322).

The spelling of 10012012001321 in words is "ten trillion, twelve billion, twelve million, one thousand, three hundred twenty-one".