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201212212210081 is a prime number
BaseRepresentation
bin101101110000000001011110…
…011011101110100110100001
3222101102200220000202201101221
4231300001132123232212201
5202333130102311210311
61551535340400055041
760245050123144552
oct5560013633564641
9871380800681357
10201212212210081
1159126690223646
121a698336904481
1388372cb97c1a7
143798a1a00a329
15183ded0e67671
hexb7005e6ee9a1

201212212210081 has 2 divisors, whose sum is σ = 201212212210082. Its totient is φ = 201212212210080.

The previous prime is 201212212210057. The next prime is 201212212210157. The reversal of 201212212210081 is 180012212212102.

201212212210081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170721009300625 + 30491202909456 = 13066025^2 + 5521884^2 .

It is a cyclic number.

It is not a de Polignac number, because 201212212210081 - 221 = 201212210112929 is a prime.

It is a super-2 number, since 2×2012122122100812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201212212214081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100606106105040 + 100606106105041.

It is an arithmetic number, because the mean of its divisors is an integer number (100606106105041).

Almost surely, 2201212212210081 is an apocalyptic number.

It is an amenable number.

201212212210081 is a deficient number, since it is larger than the sum of its proper divisors (1).

201212212210081 is an equidigital number, since it uses as much as digits as its factorization.

201212212210081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 25.

Adding to 201212212210081 its reverse (180012212212102), we get a palindrome (381224424422183).

The spelling of 201212212210081 in words is "two hundred one trillion, two hundred twelve billion, two hundred twelve million, two hundred ten thousand, eighty-one".