Search a number
-
+
2101022221201 is a prime number
BaseRepresentation
bin11110100100101110101…
…011101110001110010001
321102212002211222102002021
4132210232223232032101
5233410343142034301
64245110221451441
7304536201134221
oct36445653561621
97385084872067
102101022221201
117400472a78a2
1229b238110b81
13123182a91417
14739935a4081
15399bbd378a1
hex1e92eaee391

2101022221201 has 2 divisors, whose sum is σ = 2101022221202. Its totient is φ = 2101022221200.

The previous prime is 2101022221187. The next prime is 2101022221321. The reversal of 2101022221201 is 1021222201012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1686234699601 + 414787521600 = 1298551^2 + 644040^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101022221201 - 213 = 2101022213009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101022221601) 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, 1050511110600 + 1050511110601.

It is an arithmetic number, because the mean of its divisors is an integer number (1050511110601).

Almost surely, 22101022221201 is an apocalyptic number.

It is an amenable number.

2101022221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101022221201 is an equidigital number, since it uses as much as digits as its factorization.

2101022221201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2101022221201 its reverse (1021222201012), we get a palindrome (3122244422213).

The spelling of 2101022221201 in words is "two trillion, one hundred one billion, twenty-two million, two hundred twenty-one thousand, two hundred one".