Search a number
-
+
100021122209 is a prime number
BaseRepresentation
bin101110100100110111…
…0010011010010100001
3100120011122101110110202
41131021232103102201
53114320401402314
6113540555434545
710140421340201
oct1351156232241
9316148343422
10100021122209
1139467352578
1217474a55a55
13957ccc68a8
144babb9c401
15290600d0de
hex1749b934a1

100021122209 has 2 divisors, whose sum is σ = 100021122210. Its totient is φ = 100021122208.

The previous prime is 100021122199. The next prime is 100021122217. The reversal of 100021122209 is 902221120001.

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., 70345891984 + 29675230225 = 265228^2 + 172265^2 .

It is an emirp because it is prime and its reverse (902221120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100021122209 - 24 = 100021122193 is a prime.

It is not a weakly prime, because it can be changed into another prime (100021122109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010561104 + 50010561105.

It is an arithmetic number, because the mean of its divisors is an integer number (50010561105).

Almost surely, 2100021122209 is an apocalyptic number.

It is an amenable number.

100021122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021122209 is an equidigital number, since it uses as much as digits as its factorization.

100021122209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 100021122209 in words is "one hundred billion, twenty-one million, one hundred twenty-two thousand, two hundred nine".