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2022222121 is a prime number
BaseRepresentation
bin111100010001000…
…1010100100101001
312012221011112020121
41320202022210221
513120142101441
6532355123241
7101053414213
oct17042124451
95187145217
102022222121
11948545457
124852a3521
13262c5804a
141528015b3
15bc801dd1
hex7888a929

2022222121 has 2 divisors, whose sum is σ = 2022222122. Its totient is φ = 2022222120.

The previous prime is 2022222119. The next prime is 2022222127. The reversal of 2022222121 is 1212222202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1643491600 + 378730521 = 40540^2 + 19461^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022222121 - 21 = 2022222119 is a prime.

Together with 2022222119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2022222095 and 2022222104.

It is not a weakly prime, because it can be changed into another prime (2022222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011111060 + 1011111061.

It is an arithmetic number, because the mean of its divisors is an integer number (1011111061).

Almost surely, 22022222121 is an apocalyptic number.

It is an amenable number.

2022222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022222121 is an equidigital number, since it uses as much as digits as its factorization.

2022222121 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 16.

The square root of 2022222121 is about 44969.1240853099. The cubic root of 2022222121 is about 1264.5702260873.

Adding to 2022222121 its reverse (1212222202), we get a palindrome (3234444323).

The spelling of 2022222121 in words is "two billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-one".