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200212002102221 is a prime number
BaseRepresentation
bin101101100001011101111101…
…010000111101101111001101
3222020220002011122222201010022
4231201131331100331233031
5202220233140014232341
61545452042442151525
760112561024412264
oct5541357520755715
9866802148881108
10200212002102221
115888048474159a
121a5565164b25a5
138793babcca695
143762453b0d5db
151822e9104be4b
hexb6177d43dbcd

200212002102221 has 2 divisors, whose sum is σ = 200212002102222. Its totient is φ = 200212002102220.

The previous prime is 200212002102193. The next prime is 200212002102239. The reversal of 200212002102221 is 122201200212002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199954136184196 + 257865918025 = 14140514^2 + 507805^2 .

It is a cyclic number.

It is not a de Polignac number, because 200212002102221 - 26 = 200212002102157 is a prime.

It is a super-2 number, since 2×2002120021022212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200212002102221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200212002102271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100106001051110 + 100106001051111.

It is an arithmetic number, because the mean of its divisors is an integer number (100106001051111).

Almost surely, 2200212002102221 is an apocalyptic number.

It is an amenable number.

200212002102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

200212002102221 is an equidigital number, since it uses as much as digits as its factorization.

200212002102221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 200212002102221 its reverse (122201200212002), we get a palindrome (322413202314223).

The spelling of 200212002102221 in words is "two hundred trillion, two hundred twelve billion, two million, one hundred two thousand, two hundred twenty-one".