10221020121201 has 16 divisors (see below), whose sum is σ = 13638976603200. Its totient is φ = 6808540732928.

The previous prime is 10221020121173. The next prime is 10221020121229. The reversal of 10221020121201 is 10212102012201.

It is an interprime number because it is at equal distance from previous prime (10221020121173) and next prime (10221020121229).

It is a cyclic number.

It is not a de Polignac number, because 10221020121201 - 2¹¹ = 10221020119153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221020121281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18427045 + ... + 18973613.

It is an arithmetic number, because the mean of its divisors is an integer number (852436037700).

Almost surely, 2^{10221020121201} is an apocalyptic number.

It is an amenable number.

10221020121201 is a deficient number, since it is larger than the sum of its proper divisors (3417956481999).

10221020121201 is a wasteful number, since it uses less digits than its factorization.

10221020121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551568.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10221020121201 its reverse (10212102012201), we get a palindrome (20433122133402).

The spelling of 10221020121201 in words is "ten trillion, two hundred twenty-one billion, twenty million, one hundred twenty-one thousand, two hundred one".