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122200200121 is a prime number
BaseRepresentation
bin111000111001110110…
…0110001001110111001
3102200102100020100122211
41301303230301032321
54000231222400441
6132045450215121
711554143364006
oct1616354611671
9380370210584
10122200200121
114790891102a
121b8247244a1
13b6a5c88b2c
145cb36368ad
1532a3211a81
hex1c73b313b9

122200200121 has 2 divisors, whose sum is σ = 122200200122. Its totient is φ = 122200200120.

The previous prime is 122200200113. The next prime is 122200200169. The reversal of 122200200121 is 121002002221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83209748521 + 38990451600 = 288461^2 + 197460^2 .

It is an emirp because it is prime and its reverse (121002002221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122200200121 - 23 = 122200200113 is a prime.

It is a super-2 number, since 2×1222002001212 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122200240121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100100060 + 61100100061.

It is an arithmetic number, because the mean of its divisors is an integer number (61100100061).

Almost surely, 2122200200121 is an apocalyptic number.

It is an amenable number.

122200200121 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200200121 is an equidigital number, since it uses as much as digits as its factorization.

122200200121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 122200200121 its reverse (121002002221), we get a palindrome (243202202342).

The spelling of 122200200121 in words is "one hundred twenty-two billion, two hundred million, two hundred thousand, one hundred twenty-one".