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2210101000189 is a prime number
BaseRepresentation
bin100000001010010100010…
…010001111011111111101
321211021122201221111210121
4200022110102033133331
5242202241324001224
64411150102334541
7315450235353145
oct40122422173775
97737581844717
102210101000189
11782331440a25
122b83ba42a451
13130547474824
1478d802a5925
153c753110be4
hex2029448f7fd

2210101000189 has 2 divisors, whose sum is σ = 2210101000190. Its totient is φ = 2210101000188.

The previous prime is 2210101000141. The next prime is 2210101000201. The reversal of 2210101000189 is 9810001010122.

2210101000189 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1889442684900 + 320658315289 = 1374570^2 + 566267^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210101000189 - 27 = 2210101000061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210101000109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105050500094 + 1105050500095.

It is an arithmetic number, because the mean of its divisors is an integer number (1105050500095).

Almost surely, 22210101000189 is an apocalyptic number.

It is an amenable number.

2210101000189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210101000189 is an equidigital number, since it uses as much as digits as its factorization.

2210101000189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 2210101000189 in words is "two trillion, two hundred ten billion, one hundred one million, one hundred eighty-nine", and thus it is an aban number.