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2000222101001 is a prime number
BaseRepresentation
bin11101000110110110100…
…001110001111000001001
321002012220220202202021002
4131012312201301320021
5230232423324213001
64130520033224345
7264340240221605
oct35066641617011
97065826682232
102000222101001
11701320259633
122837a64020b5
1311680a589197
146cb50186505
153706c75046b
hex1d1b6871e09

2000222101001 has 2 divisors, whose sum is σ = 2000222101002. Its totient is φ = 2000222101000.

The previous prime is 2000222100889. The next prime is 2000222101039. The reversal of 2000222101001 is 1001012220002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1758074453776 + 242147647225 = 1325924^2 + 492085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000222101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000222101301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000111050500 + 1000111050501.

It is an arithmetic number, because the mean of its divisors is an integer number (1000111050501).

Almost surely, 22000222101001 is an apocalyptic number.

It is an amenable number.

2000222101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000222101001 is an equidigital number, since it uses as much as digits as its factorization.

2000222101001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2000222101001 its reverse (1001012220002), we get a palindrome (3001234321003).

The spelling of 2000222101001 in words is "two trillion, two hundred twenty-two million, one hundred one thousand, one".