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222112022101001 is a prime number
BaseRepresentation
bin110010100000001001111100…
…001011010111110000001001
31002010102200221201021202122222
4302200021330023113300021
5213103040410124213001
62104220504311023425
764533030652106234
oct6240117413276011
91063380851252588
10222112022101001
11648541a803372a
1220ab296a96ab75
1396c20c6218a36
143cbc3ca2c441b
151aa299b7c661b
hexca027c2d7c09

222112022101001 has 2 divisors, whose sum is σ = 222112022101002. Its totient is φ = 222112022101000.

The previous prime is 222112022100977. The next prime is 222112022101009. The reversal of 222112022101001 is 100101220211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221624287476601 + 487734624400 = 14887051^2 + 698380^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112022101001 - 218 = 222112021838857 is a prime.

It is not a weakly prime, because it can be changed into another prime (222112022101009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056011050500 + 111056011050501.

It is an arithmetic number, because the mean of its divisors is an integer number (111056011050501).

Almost surely, 2222112022101001 is an apocalyptic number.

It is an amenable number.

222112022101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112022101001 is an equidigital number, since it uses as much as digits as its factorization.

222112022101001 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 17.

Adding to 222112022101001 its reverse (100101220211222), we get a palindrome (322213242312223).

The spelling of 222112022101001 in words is "two hundred twenty-two trillion, one hundred twelve billion, twenty-two million, one hundred one thousand, one".