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2221101222481 is a prime number
BaseRepresentation
bin100000010100100011111…
…100110000101001010001
321212100001100210200222001
4200110203330300221101
5242342303403104411
64420205415314001
7316316646613111
oct40244374605121
97770040720861
102221101222481
11786a66810829
122ba56a37b901
131315ab4493bb
14797051d3041
153cb98be5dc1
hex20523f30a51

2221101222481 has 2 divisors, whose sum is σ = 2221101222482. Its totient is φ = 2221101222480.

The previous prime is 2221101222463. The next prime is 2221101222497. The reversal of 2221101222481 is 1842221011222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1444383330625 + 776717891856 = 1201825^2 + 881316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221101222481 is a prime.

It is a super-2 number, since 2×22211012224812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221101222421) 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, 1110550611240 + 1110550611241.

It is an arithmetic number, because the mean of its divisors is an integer number (1110550611241).

Almost surely, 22221101222481 is an apocalyptic number.

It is an amenable number.

2221101222481 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221101222481 is an equidigital number, since it uses as much as digits as its factorization.

2221101222481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 2221101222481 in words is "two trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty-two thousand, four hundred eighty-one".