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2021112122201 is a prime number
BaseRepresentation
bin11101011010010011101…
…010111000101101011001
321011012211210000210001222
4131122103222320231121
5231103214200402301
64144252555021425
7266010020403524
oct35322352705531
97135753023058
102021112122201
1170a170114767
1228785643a875
13118789475483
146db7274bbbb
15378916c631b
hex1d693ab8b59

2021112122201 has 2 divisors, whose sum is σ = 2021112122202. Its totient is φ = 2021112122200.

The previous prime is 2021112122191. The next prime is 2021112122219. The reversal of 2021112122201 is 1022212111202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1048117298176 + 972994824025 = 1023776^2 + 986405^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2021112122201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2021112122201.

It is not a weakly prime, because it can be changed into another prime (2021112122291) 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, 1010556061100 + 1010556061101.

It is an arithmetic number, because the mean of its divisors is an integer number (1010556061101).

Almost surely, 22021112122201 is an apocalyptic number.

It is an amenable number.

2021112122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021112122201 is an equidigital number, since it uses as much as digits as its factorization.

2021112122201 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 2021112122201 its reverse (1022212111202), we get a palindrome (3043324233403).

The spelling of 2021112122201 in words is "two trillion, twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred one".