Search a number
-
+
2021122022201 is a prime number
BaseRepresentation
bin11101011010010100010…
…000101001101100111001
321011012212110122202022122
4131122110100221230321
5231103224214202301
64144253551131025
7266010200505512
oct35322420515471
97135773582278
102021122022201
1170a175766787
12287859813a75
1311878b530669
146db73ba7a09
15378924ce81b
hex1d694429b39

2021122022201 has 2 divisors, whose sum is σ = 2021122022202. Its totient is φ = 2021122022200.

The previous prime is 2021122022147. The next prime is 2021122022237. The reversal of 2021122022201 is 1022202211202.

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., 1455581925625 + 565540096576 = 1206475^2 + 752024^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021122022201 - 230 = 2020048280377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2021122022201.

It is not a weakly prime, because it can be changed into another prime (2021122022281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010561011100 + 1010561011101.

It is an arithmetic number, because the mean of its divisors is an integer number (1010561011101).

Almost surely, 22021122022201 is an apocalyptic number.

It is an amenable number.

2021122022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021122022201 is an equidigital number, since it uses as much as digits as its factorization.

2021122022201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2021122022201 its reverse (1022202211202), we get a palindrome (3043324233403).

The spelling of 2021122022201 in words is "two trillion, twenty-one billion, one hundred twenty-two million, twenty-two thousand, two hundred one".