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2122020001 is a prime number
BaseRepresentation
bin111111001111011…
…0111010010100001
312110212221210012101
41332132313102201
513321214120001
6550322130401
7103404605143
oct17636672241
95425853171
102122020001
11999909042
124b27b0a01
1327a82a84a
14161b7cc93
15c6466a01
hex7e7b74a1

2122020001 has 2 divisors, whose sum is σ = 2122020002. Its totient is φ = 2122020000.

The previous prime is 2122019981. The next prime is 2122020077. The reversal of 2122020001 is 1000202212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1646736400 + 475283601 = 40580^2 + 21801^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122020001 - 215 = 2121987233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122020001.

It is not a weakly prime, because it can be changed into another prime (2122020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061010000 + 1061010001.

It is an arithmetic number, because the mean of its divisors is an integer number (1061010001).

Almost surely, 22122020001 is an apocalyptic number.

It is an amenable number.

2122020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122020001 is an equidigital number, since it uses as much as digits as its factorization.

2122020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2122020001 is about 46065.3883192142. The cubic root of 2122020001 is about 1285.0395403358.

Adding to 2122020001 its reverse (1000202212), we get a palindrome (3122222213).

The spelling of 2122020001 in words is "two billion, one hundred twenty-two million, twenty thousand, one".