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2212020330101 is a prime number
BaseRepresentation
bin100000001100000110101…
…011111001111001110101
321211110121111111120110122
4200030012223321321311
5242220204201030401
64412104344301325
7315545632401161
oct40140653717165
97743544446418
102212020330101
1178312689999a
122b8855171845
13130791cb57ba
14790c3161ca1
153c81688b21b
hex20306af9e75

2212020330101 has 2 divisors, whose sum is σ = 2212020330102. Its totient is φ = 2212020330100.

The previous prime is 2212020330071. The next prime is 2212020330131. The reversal of 2212020330101 is 1010330202122.

2212020330101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2212020330071) and next prime (2212020330131).

It can be written as a sum of positive squares in only one way, i.e., 2193358038001 + 18662292100 = 1480999^2 + 136610^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2212020330101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2212020330101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2212020330131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106010165050 + 1106010165051.

It is an arithmetic number, because the mean of its divisors is an integer number (1106010165051).

Almost surely, 22212020330101 is an apocalyptic number.

It is an amenable number.

2212020330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212020330101 is an equidigital number, since it uses as much as digits as its factorization.

2212020330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2212020330101 its reverse (1010330202122), we get a palindrome (3222350532223).

The spelling of 2212020330101 in words is "two trillion, two hundred twelve billion, twenty million, three hundred thirty thousand, one hundred one".