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2122210201 is a prime number
BaseRepresentation
bin111111001111110…
…0101101110011001
312110220022110002211
41332133211232121
513321241211301
6550330155121
7103406326516
oct17637455631
95426273084
102122210201
11999a28a31
124b2882aa1
1327a8962a7
14161bcc30d
15c64a3051
hex7e7e5b99

2122210201 has 2 divisors, whose sum is σ = 2122210202. Its totient is φ = 2122210200.

The previous prime is 2122210199. The next prime is 2122210213. The reversal of 2122210201 is 1020122212.

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., 1667497225 + 454712976 = 40835^2 + 21324^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122210201 - 21 = 2122210199 is a prime.

It is a super-2 number, since 2×21222102012 = 9007552274456920802, which contains 22 as substring.

Together with 2122210199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2122240201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061105100 + 1061105101.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105101).

Almost surely, 22122210201 is an apocalyptic number.

It is an amenable number.

2122210201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210201 is an equidigital number, since it uses as much as digits as its factorization.

2122210201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2122210201 is about 46067.4527296659. The cubic root of 2122210201 is about 1285.0779325624.

Adding to 2122210201 its reverse (1020122212), we get a palindrome (3142332413).

The spelling of 2122210201 in words is "two billion, one hundred twenty-two million, two hundred ten thousand, two hundred one".