Search a number
-
+
2122210020121 is a prime number
BaseRepresentation
bin11110111000011101100…
…100110000101100011001
321111212210110120010010121
4132320131210300230121
5234232241231120441
64302532501513241
7306216225351562
oct36703544605431
97455713503117
102122210020121
1174902a259814
122a336ba12821
1312517b57ab49
1474a03521169
153a30becddd1
hex1ee1d930b19

2122210020121 has 2 divisors, whose sum is σ = 2122210020122. Its totient is φ = 2122210020120.

The previous prime is 2122210020103. The next prime is 2122210020137. The reversal of 2122210020121 is 1210200122212.

It is a happy number.

It is an a-pointer prime, because the next prime (2122210020137) can be obtained adding 2122210020121 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1601591491600 + 520618528521 = 1265540^2 + 721539^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122210020121 - 25 = 2122210020089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122210020095 and 2122210020104.

It is not a weakly prime, because it can be changed into another prime (2122210020221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061105010060 + 1061105010061.

It is an arithmetic number, because the mean of its divisors is an integer number (1061105010061).

Almost surely, 22122210020121 is an apocalyptic number.

It is an amenable number.

2122210020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122210020121 is an equidigital number, since it uses as much as digits as its factorization.

2122210020121 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 16.

Adding to 2122210020121 its reverse (1210200122212), we get a palindrome (3332410142333).

The spelling of 2122210020121 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, twenty thousand, one hundred twenty-one".