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2100222121 is a prime number
BaseRepresentation
bin111110100101110…
…1101100010101001
312102100221100010111
41331023231202221
513300124101441
6544223014321
7103021410364
oct17513554251
95370840114
102100222121
1198857aa68
124a743a3a1
13276167caa
1415cd070db
15c45ad081
hex7d2ed8a9

2100222121 has 2 divisors, whose sum is σ = 2100222122. Its totient is φ = 2100222120.

The previous prime is 2100222107. The next prime is 2100222151. The reversal of 2100222121 is 1212220012.

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., 1086691225 + 1013530896 = 32965^2 + 31836^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100222121 - 27 = 2100221993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100222101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050111060 + 1050111061.

It is an arithmetic number, because the mean of its divisors is an integer number (1050111061).

Almost surely, 22100222121 is an apocalyptic number.

It is an amenable number.

2100222121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100222121 is an equidigital number, since it uses as much as digits as its factorization.

2100222121 is an evil number, because the sum of its binary digits is even.

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

The square root of 2100222121 is about 45828.1804242761. The cubic root of 2100222121 is about 1280.6243131616.

Adding to 2100222121 its reverse (1212220012), we get a palindrome (3312442133).

The spelling of 2100222121 in words is "two billion, one hundred million, two hundred twenty-two thousand, one hundred twenty-one".