Search a number
-
+
1010221220221 is a prime number
BaseRepresentation
bin11101011001101011110…
…00001000000101111101
310120120120001110012200221
432230311320020011331
5113022413113021341
62052031134421341
7132662136455623
oct16546570100575
93516501405627
101010221220221
1135a4835a6a34
12143955061851
1374356a5cc45
1436c75b13513
151b428c70ed1
hexeb35e0817d

1010221220221 has 2 divisors, whose sum is σ = 1010221220222. Its totient is φ = 1010221220220.

The previous prime is 1010221220213. The next prime is 1010221220231. The reversal of 1010221220221 is 1220221220101.

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., 972531268900 + 37689951321 = 986170^2 + 194139^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010221220221 - 23 = 1010221220213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010221220195 and 1010221220204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010221220231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505110610110 + 505110610111.

It is an arithmetic number, because the mean of its divisors is an integer number (505110610111).

Almost surely, 21010221220221 is an apocalyptic number.

It is an amenable number.

1010221220221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010221220221 is an equidigital number, since it uses as much as digits as its factorization.

1010221220221 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 16.

Adding to 1010221220221 its reverse (1220221220101), we get a palindrome (2230442440322).

The spelling of 1010221220221 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty-one".