10100221020201 has 16 divisors (see below), whose sum is σ = 14502945576896. Its totient is φ = 6215493151296.

The previous prime is 10100221020193. The next prime is 10100221020229. The reversal of 10100221020201 is 10202012200101.

It is not a de Polignac number, because 10100221020201 - 2³ = 10100221020193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100221020251) 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, 11685726 + ... + 12520248.

It is an arithmetic number, because the mean of its divisors is an integer number (906434098556).

Almost surely, 2^{10100221020201} is an apocalyptic number.

It is an amenable number.

10100221020201 is a deficient number, since it is larger than the sum of its proper divisors (4402724556695).

10100221020201 is a wasteful number, since it uses less digits than its factorization.

10100221020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144872.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10100221020201 its reverse (10202012200101), we get a palindrome (20302233220302).

The spelling of 10100221020201 in words is "ten trillion, one hundred billion, two hundred twenty-one million, twenty thousand, two hundred one".