Search a number
-
+
1001220212101 is a prime number
BaseRepresentation
bin11101001000111010110…
…00000000010110000101
310112201022202110121210211
432210131120000112011
5112400444333241401
62043542035515421
7132223112245504
oct16443530002605
93481282417724
101001220212101
1135668478734a
12142062758b71
1373551018b35
143666051883b
151b09d945951
hexe91d600585

1001220212101 has 2 divisors, whose sum is σ = 1001220212102. Its totient is φ = 1001220212100.

The previous prime is 1001220212063. The next prime is 1001220212117. The reversal of 1001220212101 is 1012120221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 699188630625 + 302031581476 = 836175^2 + 549574^2 .

It is an emirp because it is prime and its reverse (1012120221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001220212101 - 227 = 1001085994373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001220212401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500610106050 + 500610106051.

It is an arithmetic number, because the mean of its divisors is an integer number (500610106051).

Almost surely, 21001220212101 is an apocalyptic number.

It is an amenable number.

1001220212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001220212101 is an equidigital number, since it uses as much as digits as its factorization.

1001220212101 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 13.

Adding to 1001220212101 its reverse (1012120221001), we get a palindrome (2013340433102).

The spelling of 1001220212101 in words is "one trillion, one billion, two hundred twenty million, two hundred twelve thousand, one hundred one".