10221201022201 has 16 divisors (see below), whose sum is σ = 11657866928400. Its totient is φ = 8877730572288.

The previous prime is 10221201022163. The next prime is 10221201022231. The reversal of 10221201022201 is 10222010212201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 321846309225 + 9899354712976 = 567315^2 + 3146324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221201022201 - 2¹⁹ = 10221200497913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221201022231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4915596 + ... + 6678733.

It is an arithmetic number, because the mean of its divisors is an integer number (728616683025).

Almost surely, 2^{10221201022201} is an apocalyptic number.

It is an amenable number.

10221201022201 is a deficient number, since it is larger than the sum of its proper divisors (1436665906199).

10221201022201 is a wasteful number, since it uses less digits than its factorization.

10221201022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11598348.

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

Adding to 10221201022201 its reverse (10222010212201), we get a palindrome (20443211234402).

The spelling of 10221201022201 in words is "ten trillion, two hundred twenty-one billion, two hundred one million, twenty-two thousand, two hundred one".