10201022201221 has 16 divisors (see below), whose sum is σ = 10830818496960. Its totient is φ = 9591145724160.

The previous prime is 10201022201197. The next prime is 10201022201257. The reversal of 10201022201221 is 12210222010201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10201022201221 - 2¹⁷ = 10201022070149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201022201195 and 10201022201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201022201281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11944420 + ... + 12769933.

It is an arithmetic number, because the mean of its divisors is an integer number (676926156060).

Almost surely, 2^{10201022201221} is an apocalyptic number.

It is an amenable number.

10201022201221 is a deficient number, since it is larger than the sum of its proper divisors (629796295739).

10201022201221 is a wasteful number, since it uses less digits than its factorization.

10201022201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24714756.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201022201221 its reverse (12210222010201), we get a palindrome (22411244211422).

The spelling of 10201022201221 in words is "ten trillion, two hundred one billion, twenty-two million, two hundred one thousand, two hundred twenty-one".