10001201222001 has 32 divisors (see below), whose sum is σ = 14632439072256. Its totient is φ = 6025895856000.

The previous prime is 10001201221987. The next prime is 10001201222123. The reversal of 10001201222001 is 10022210210001.

It is not a de Polignac number, because 10001201222001 - 2⁵ = 10001201221969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10001201222801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4210221 + ... + 6142341.

It is an arithmetic number, because the mean of its divisors is an integer number (457263721008).

Almost surely, 2^{10001201222001} is an apocalyptic number.

10001201222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001201222001 is a deficient number, since it is larger than the sum of its proper divisors (4631237850255).

10001201222001 is a wasteful number, since it uses less digits than its factorization.

10001201222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933053.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001201222001 its reverse (10022210210001), we get a palindrome (20023411432002).

The spelling of 10001201222001 in words is "ten trillion, one billion, two hundred one million, two hundred twenty-two thousand, one".