Search a number
-
+
2210122221101 is a prime number
BaseRepresentation
bin100000001010010101100…
…011001100011000101101
321211021201012212122102022
4200022111203030120231
5242202312242033401
64411152141235525
7315450613625534
oct40122543143055
97737635778368
102210122221101
11782342415573
122b8405562ba5
1313054b994892
1478d8302b31b
153c754e0371b
hex202958cc62d

2210122221101 has 2 divisors, whose sum is σ = 2210122221102. Its totient is φ = 2210122221100.

The previous prime is 2210122221091. The next prime is 2210122221121. The reversal of 2210122221101 is 1011222210122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1832205888100 + 377916333001 = 1353590^2 + 614749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210122221101 - 210 = 2210122220077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2210122221101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210122221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105061110550 + 1105061110551.

It is an arithmetic number, because the mean of its divisors is an integer number (1105061110551).

Almost surely, 22210122221101 is an apocalyptic number.

It is an amenable number.

2210122221101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210122221101 is an equidigital number, since it uses as much as digits as its factorization.

2210122221101 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 17.

Adding to 2210122221101 its reverse (1011222210122), we get a palindrome (3221344431223).

The spelling of 2210122221101 in words is "two trillion, two hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred one".