Search a number
-
+
2121222221201 is a prime number
BaseRepresentation
bin11110110111100010101…
…100100110110110010001
321111210020121211201202102
4132313202230212312101
5234223230342034301
64302250453530145
7306152602245416
oct36674254466621
97453217751672
102121222221201
11748672709876
122a3135043955
13125051a23345
147494c26c10d
153a2a040cb6b
hex1ede2b26d91

2121222221201 has 2 divisors, whose sum is σ = 2121222221202. Its totient is φ = 2121222221200.

The previous prime is 2121222221197. The next prime is 2121222221213. The reversal of 2121222221201 is 1021222221212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1974092440576 + 147129780625 = 1405024^2 + 383575^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121222221201 - 22 = 2121222221197 is a prime.

It is not a weakly prime, because it can be changed into another prime (2123222221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060611110600 + 1060611110601.

It is an arithmetic number, because the mean of its divisors is an integer number (1060611110601).

Almost surely, 22121222221201 is an apocalyptic number.

It is an amenable number.

2121222221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121222221201 is an equidigital number, since it uses as much as digits as its factorization.

2121222221201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2121222221201 its reverse (1021222221212), we get a palindrome (3142444442413).

The spelling of 2121222221201 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred one".