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1000122120181 is a prime number
BaseRepresentation
bin11101000110110111110…
…11000111011111110101
310112121111020012202212201
432203123323013133311
5112341222230321211
62043241051544501
7132153646520362
oct16433373073765
93477436182781
101000122120181
11356170955668
121419b6a5b131
13734076857c2
1436598755469
151b03733a0c1
hexe8dbec77f5

1000122120181 has 2 divisors, whose sum is σ = 1000122120182. Its totient is φ = 1000122120180.

The previous prime is 1000122120113. The next prime is 1000122120247. The reversal of 1000122120181 is 1810212210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 674804746225 + 325317373956 = 821465^2 + 570366^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000122120181 - 211 = 1000122118133 is a prime.

It is a super-2 number, since 2×10001221201812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000122100181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500061060090 + 500061060091.

It is an arithmetic number, because the mean of its divisors is an integer number (500061060091).

Almost surely, 21000122120181 is an apocalyptic number.

It is an amenable number.

1000122120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000122120181 is an equidigital number, since it uses as much as digits as its factorization.

1000122120181 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 19.

Adding to 1000122120181 its reverse (1810212210001), we get a palindrome (2810334330182).

The spelling of 1000122120181 in words is "one trillion, one hundred twenty-two million, one hundred twenty thousand, one hundred eighty-one".