10201221121001 has 8 divisors (see below), whose sum is σ = 10690438112640. Its totient is φ = 9715811265952.

The previous prime is 10201221120977. The next prime is 10201221121009. The reversal of 10201221121001 is 10012112210201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201221121001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201221121009) 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 7 ways as a sum of consecutive naturals, for example, 951778661 + ... + 951789378.

It is an arithmetic number, because the mean of its divisors is an integer number (1336304764080).

Almost surely, 2^{10201221121001} is an apocalyptic number.

It is an amenable number.

10201221121001 is a deficient number, since it is larger than the sum of its proper divisors (489216991639).

10201221121001 is a wasteful number, since it uses less digits than its factorization.

10201221121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903568295.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10201221121001 its reverse (10012112210201), we get a palindrome (20213333331202).

The spelling of 10201221121001 in words is "ten trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-one thousand, one".