Search a number
-
+
2021100000121 is a prime number
BaseRepresentation
bin11101011010010010111…
…100101001001101111001
321011012210221012220201001
4131122102330221031321
5231103203100000441
64144251443125001
7266006512355266
oct35322274511571
97135727186631
102021100000121
1170a164295214
12287852373761
13118786abca47
146db70cb426d
15378905ce731
hex1d692f29379

2021100000121 has 2 divisors, whose sum is σ = 2021100000122. Its totient is φ = 2021100000120.

The previous prime is 2021100000077. The next prime is 2021100000133. The reversal of 2021100000121 is 1210000011202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1254424640121 + 766675360000 = 1120011^2 + 875600^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021100000121 - 215 = 2021099967353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2021100000098 and 2021100000107.

It is not a weakly prime, because it can be changed into another prime (2021100030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010550000060 + 1010550000061.

It is an arithmetic number, because the mean of its divisors is an integer number (1010550000061).

Almost surely, 22021100000121 is an apocalyptic number.

It is an amenable number.

2021100000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021100000121 is an equidigital number, since it uses as much as digits as its factorization.

2021100000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2021100000121 its reverse (1210000011202), we get a palindrome (3231100011323).

The spelling of 2021100000121 in words is "two trillion, twenty-one billion, one hundred million, one hundred twenty-one", and thus it is an aban number.