10012001221001 has 16 divisors (see below), whose sum is σ = 10900668808848. Its totient is φ = 9140392857600.

The previous prime is 10012001220979. The next prime is 10012001221003. The reversal of 10012001221001 is 10012210021001.

It can be written as a sum of positive squares in 8 ways, for example, as 452526635401 + 9559474585600 = 672701^2 + 3091840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012001221001 - 2¹⁴ = 10012001204617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012001221003) 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, 812990 + ... + 4548071.

It is an arithmetic number, because the mean of its divisors is an integer number (681291800553).

Almost surely, 2^{10012001221001} is an apocalyptic number.

It is an amenable number.

10012001221001 is a deficient number, since it is larger than the sum of its proper divisors (888667587847).

10012001221001 is a wasteful number, since it uses less digits than its factorization.

10012001221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362652.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10012001221001 its reverse (10012210021001), we get a palindrome (20024211242002).

The spelling of 10012001221001 in words is "ten trillion, twelve billion, one million, two hundred twenty-one thousand, one".