10010122200221 has 24 divisors (see below), whose sum is σ = 11826080413920. Its totient is φ = 8399164363200.

The previous prime is 10010122200209. The next prime is 10010122200241. The reversal of 10010122200221 is 12200222101001.

It is not a de Polignac number, because 10010122200221 - 2¹⁸ = 10010121938077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010122200196 and 10010122200205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010122200241) 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, 16604015 + ... + 17196323.

It is an arithmetic number, because the mean of its divisors is an integer number (492753350580).

Almost surely, 2^{10010122200221} is an apocalyptic number.

10010122200221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010122200221 is a deficient number, since it is larger than the sum of its proper divisors (1815958213699).

10010122200221 is a wasteful number, since it uses less digits than its factorization.

10010122200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601437 (or 601424 counting only the distinct ones).

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

Adding to 10010122200221 its reverse (12200222101001), we get a palindrome (22210344301222).

It can be divided in two parts, 100101 and 22200221, that added together give a palindrome (22300322).

The spelling of 10010122200221 in words is "ten trillion, ten billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-one".