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112212220121 is a prime number
BaseRepresentation
bin110100010000001011…
…1101001100011011001
3101201122021002101212122
41220200113221203121
53314302312020441
6123314413151025
711051503063541
oct1504027514331
9351567071778
10112212220121
1143652966901
12198b778b475
13a7739197b1
145606d22321
152dbb42a34b
hex1a205e98d9

112212220121 has 2 divisors, whose sum is σ = 112212220122. Its totient is φ = 112212220120.

The previous prime is 112212220103. The next prime is 112212220291. The reversal of 112212220121 is 121022212211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71722731721 + 40489488400 = 267811^2 + 201220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112212220121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112212220121.

It is not a weakly prime, because it can be changed into another prime (112212220721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56106110060 + 56106110061.

It is an arithmetic number, because the mean of its divisors is an integer number (56106110061).

Almost surely, 2112212220121 is an apocalyptic number.

It is an amenable number.

112212220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112212220121 is an equidigital number, since it uses as much as digits as its factorization.

112212220121 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 112212220121 its reverse (121022212211), we get a palindrome (233234432332).

The spelling of 112212220121 in words is "one hundred twelve billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty-one".