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2202112122121 is a prime number
BaseRepresentation
bin100000000010111000000…
…111000101110100001001
321210112000222110110022201
4200002320013011310021
5242034411200401441
64403345241120201
7315045251124352
oct40027007056411
97715028413281
102202112122121
11779a0197a65a
122b694aa89061
1312c873326b42
1478823294d29
153c436ab0c31
hex200b81c5d09

2202112122121 has 2 divisors, whose sum is σ = 2202112122122. Its totient is φ = 2202112122120.

The previous prime is 2202112122097. The next prime is 2202112122151. The reversal of 2202112122121 is 1212212112022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2145390031225 + 56722090896 = 1464715^2 + 238164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202112122121 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202112122151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101056061060 + 1101056061061.

It is an arithmetic number, because the mean of its divisors is an integer number (1101056061061).

Almost surely, 22202112122121 is an apocalyptic number.

It is an amenable number.

2202112122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202112122121 is an equidigital number, since it uses as much as digits as its factorization.

2202112122121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2202112122121 its reverse (1212212112022), we get a palindrome (3414324234143).

The spelling of 2202112122121 in words is "two trillion, two hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-one".