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202112202121 is a prime number
BaseRepresentation
bin1011110000111011010…
…0110111010110001001
3201022200112202200002121
42330032310313112021
511302411210431441
6232503221531241
720413346241454
oct2741664672611
9638615680077
10202112202121
1178796083995
1233206b73b21
131609cac000b
149ad482649b
1553cdaebdd1
hex2f0ed37589

202112202121 has 2 divisors, whose sum is σ = 202112202122. Its totient is φ = 202112202120.

The previous prime is 202112202107. The next prime is 202112202133. The reversal of 202112202121 is 121202211202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200557082896 + 1555119225 = 447836^2 + 39435^2 .

It is a cyclic number.

It is not a de Polignac number, because 202112202121 - 227 = 201977984393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202112202095 and 202112202104.

It is not a weakly prime, because it can be changed into another prime (202112202101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101056101060 + 101056101061.

It is an arithmetic number, because the mean of its divisors is an integer number (101056101061).

Almost surely, 2202112202121 is an apocalyptic number.

It is an amenable number.

202112202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112202121 is an equidigital number, since it uses as much as digits as its factorization.

202112202121 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 202112202121 its reverse (121202211202), we get a palindrome (323314413323).

The spelling of 202112202121 in words is "two hundred two billion, one hundred twelve million, two hundred two thousand, one hundred twenty-one".