Search a number
-
+
2221212101201 is a prime number
BaseRepresentation
bin100000010100101010100…
…011101110101001010001
321212100100002102220222022
4200110222203232221101
5242343020244214301
64420224420021225
7316322464224512
oct40245243565121
97770302386868
102221212101201
11787013362635
122ba59b531815
131315c83cb702
1479715c16a09
153cba37e8d1b
hex2052a8eea51

2221212101201 has 2 divisors, whose sum is σ = 2221212101202. Its totient is φ = 2221212101200.

The previous prime is 2221212101183. The next prime is 2221212101237. The reversal of 2221212101201 is 1021012121222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1244119390801 + 977092710400 = 1115401^2 + 988480^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221212101201 - 226 = 2221144992337 is a prime.

It is a super-2 number, since 2×22212121012012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2221212101201.

It is not a weakly prime, because it can be changed into another prime (2221212101281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110606050600 + 1110606050601.

It is an arithmetic number, because the mean of its divisors is an integer number (1110606050601).

Almost surely, 22221212101201 is an apocalyptic number.

It is an amenable number.

2221212101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221212101201 is an equidigital number, since it uses as much as digits as its factorization.

2221212101201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2221212101201 its reverse (1021012121222), we get a palindrome (3242224222423).

The spelling of 2221212101201 in words is "two trillion, two hundred twenty-one billion, two hundred twelve million, one hundred one thousand, two hundred one".