Search a number
-
+
221002202020121 is a prime number
BaseRepresentation
bin110010010000000000010101…
…101111101111100100011001
31001222111121022110000012102222
4302100000111233233210121
5212431400002204120441
62102011002055033425
764356611406060254
oct6220002557574431
91058447273005388
10221002202020121
1164466564585615
122095385a36b875
139641558ac9422
143c807c693009b
151a83b93b56d4b
hexc90015bef919

221002202020121 has 2 divisors, whose sum is σ = 221002202020122. Its totient is φ = 221002202020120.

The previous prime is 221002202020099. The next prime is 221002202020123. The reversal of 221002202020121 is 121020202200122.

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., 184316600505625 + 36685601514496 = 13576325^2 + 6056864^2 .

It is a cyclic number.

It is not a de Polignac number, because 221002202020121 - 26 = 221002202020057 is a prime.

It is a super-2 number, since 2×2210022020201212 (a number of 29 digits) contains 22 as substring.

Together with 221002202020123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221002202020121.

It is not a weakly prime, because it can be changed into another prime (221002202020123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110501101010060 + 110501101010061.

It is an arithmetic number, because the mean of its divisors is an integer number (110501101010061).

Almost surely, 2221002202020121 is an apocalyptic number.

It is an amenable number.

221002202020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221002202020121 is an equidigital number, since it uses as much as digits as its factorization.

221002202020121 is an evil number, because the sum of its binary digits is even.

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

Adding to 221002202020121 its reverse (121020202200122), we get a palindrome (342022404220243).

The spelling of 221002202020121 in words is "two hundred twenty-one trillion, two billion, two hundred two million, twenty thousand, one hundred twenty-one".