Search a number
-
+
2121022022201 is a prime number
BaseRepresentation
bin11110110111010110110…
…000111010001000111001
321111202201200010120100122
4132313112300322020321
5234222323114202301
64302214542543025
7306144621502025
oct36672660721071
97452650116318
102121022022201
1174857a700355
122a3099b97a75
1312501c3c95b4
147492d837385
153a28ca6481b
hex1edd6c3a239

2121022022201 has 2 divisors, whose sum is σ = 2121022022202. Its totient is φ = 2121022022200.

The previous prime is 2121022022173. The next prime is 2121022022233. The reversal of 2121022022201 is 1022202201212.

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., 1899862506025 + 221159516176 = 1378355^2 + 470276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2121022022201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121022022201.

It is not a weakly prime, because it can be changed into another prime (2121022022281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060511011100 + 1060511011101.

It is an arithmetic number, because the mean of its divisors is an integer number (1060511011101).

Almost surely, 22121022022201 is an apocalyptic number.

It is an amenable number.

2121022022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121022022201 is an equidigital number, since it uses as much as digits as its factorization.

2121022022201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 2121022022201 its reverse (1022202201212), we get a palindrome (3143224223413).

The spelling of 2121022022201 in words is "two trillion, one hundred twenty-one billion, twenty-two million, twenty-two thousand, two hundred one".