10021200112001 has 16 divisors (see below), whose sum is σ = 11001809919744. Its totient is φ = 9072181352064.

The previous prime is 10021200111997. The next prime is 10021200112009. The reversal of 10021200112001 is 10021100212001.

It is a cyclic number.

It is not a de Polignac number, because 10021200112001 - 2² = 10021200111997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021200112009) 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 15 ways as a sum of consecutive naturals, for example, 33748121 + ... + 34043766.

It is an arithmetic number, because the mean of its divisors is an integer number (687613119984).

Almost surely, 2^{10021200112001} is an apocalyptic number.

It is an amenable number.

10021200112001 is a deficient number, since it is larger than the sum of its proper divisors (980609807743).

10021200112001 is a wasteful number, since it uses less digits than its factorization.

10021200112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67792120.

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

Adding to 10021200112001 its reverse (10021100212001), we get a palindrome (20042300324002).

The spelling of 10021200112001 in words is "ten trillion, twenty-one billion, two hundred million, one hundred twelve thousand, one".