10210201222001 has 12 divisors (see below), whose sum is σ = 11234760642756. Its totient is φ = 9272094923520.

The previous prime is 10210201221967. The next prime is 10210201222007. The reversal of 10210201222001 is 10022210201201.

It can be written as a sum of positive squares in 2 ways, for example, as 5519793131776 + 4690408090225 = 2349424^2 + 2165735^2 .

It is not a de Polignac number, because 10210201222001 - 2¹⁸ = 10210200959857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10210201222007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44914280 + ... + 45141033.

It is an arithmetic number, because the mean of its divisors is an integer number (936230053563).

Almost surely, 2^{10210201222001} is an apocalyptic number.

10210201222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210201222001 is a deficient number, since it is larger than the sum of its proper divisors (1024559420755).

10210201222001 is an equidigital number, since it uses as much as digits as its factorization.

10210201222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90056272 (or 90056261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10210201222001 its reverse (10022210201201), we get a palindrome (20232411423202).

The spelling of 10210201222001 in words is "ten trillion, two hundred ten billion, two hundred one million, two hundred twenty-two thousand, one".