2002122222221 has 16 divisors (see below), whose sum is σ = 2203903660608. Its totient is φ = 1803709891200.

The previous prime is 2002122222179. The next prime is 2002122222223. The reversal of 2002122222221 is 1222222212002.

It is a cyclic number.

It is not a de Polignac number, because 2002122222221 - 2¹⁸ = 2002121960077 is a prime.

It is a super-2 number, since 2×2002122222221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002122222193 and 2002122222202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002122222223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1310306 + ... + 2391891.

It is an arithmetic number, because the mean of its divisors is an integer number (137743978788).

Almost surely, 2^{2002122222221} is an apocalyptic number.

It is an amenable number.

2002122222221 is a deficient number, since it is larger than the sum of its proper divisors (201781438387).

2002122222221 is a wasteful number, since it uses less digits than its factorization.

2002122222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702652.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2002122222221 its reverse (1222222212002), we get a palindrome (3224344434223).

It can be divided in two parts, 2002 and 122222221, that multiplied together give a palindrome (244688886442).

The spelling of 2002122222221 in words is "two trillion, two billion, one hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-one".