Search a number
-
+
2221000020101 is a prime number
BaseRepresentation
bin100000010100011101111…
…010101101000010000101
321212022210022101002101202
4200110131322231002011
5242342102001120401
64420151402232245
7316314310452332
oct40243572550205
97768708332352
102221000020101
11786a146789a5
122ba5404b5685
131315934a4535
14796d59ab989
153cb8eda506b
hex2051dead085

2221000020101 has 2 divisors, whose sum is σ = 2221000020102. Its totient is φ = 2221000020100.

The previous prime is 2221000020089. The next prime is 2221000020149. The reversal of 2221000020101 is 1010200001222.

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., 1175598062500 + 1045401957601 = 1084250^2 + 1022449^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221000020101 - 26 = 2221000020037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221000010101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110500010050 + 1110500010051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110500010051).

Almost surely, 22221000020101 is an apocalyptic number.

It is an amenable number.

2221000020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221000020101 is an equidigital number, since it uses as much as digits as its factorization.

2221000020101 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 11.

Adding to 2221000020101 its reverse (1010200001222), we get a palindrome (3231200021323).

The spelling of 2221000020101 in words is "two trillion, two hundred twenty-one billion, twenty thousand, one hundred one".