10001122100221 has 24 divisors (see below), whose sum is σ = 12275053156800. Its totient is φ = 7954495973760.

The previous prime is 10001122100213. The next prime is 10001122100231. The reversal of 10001122100221 is 12200122110001.

It is not a de Polignac number, because 10001122100221 - 2³ = 10001122100213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001122100231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7736071 + ... + 8935828.

It is an arithmetic number, because the mean of its divisors is an integer number (511460548200).

Almost surely, 2^{10001122100221} is an apocalyptic number.

It is an amenable number.

10001122100221 is a deficient number, since it is larger than the sum of its proper divisors (2273931056579).

10001122100221 is an equidigital number, since it uses as much as digits as its factorization.

10001122100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16672065 (or 16671994 counting only the distinct ones).

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

Adding to 10001122100221 its reverse (12200122110001), we get a palindrome (22201244210222).

The spelling of 10001122100221 in words is "ten trillion, one billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-one".