10221001102201 has 16 divisors (see below), whose sum is σ = 11195591556240. Its totient is φ = 9287904890880.

The previous prime is 10221001102183. The next prime is 10221001102283. The reversal of 10221001102201 is 10220110012201.

It can be written as a sum of positive squares in 8 ways, for example, as 1428560410176 + 8792440692025 = 1195224^2 + 2965205^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221001102201 - 2³⁷ = 10083562148729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221001102001) 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, 43383361 + ... + 43618321.

It is an arithmetic number, because the mean of its divisors is an integer number (699724472265).

Almost surely, 2^{10221001102201} is an apocalyptic number.

It is an amenable number.

10221001102201 is a deficient number, since it is larger than the sum of its proper divisors (974590454039).

10221001102201 is a wasteful number, since it uses less digits than its factorization.

10221001102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323244.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221001102201 its reverse (10220110012201), we get a palindrome (20441111114402).

The spelling of 10221001102201 in words is "ten trillion, two hundred twenty-one billion, one million, one hundred two thousand, two hundred one".