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2220221122081 is a prime number
BaseRepresentation
bin100000010011101111011…
…111011100011000100001
321212020210000201222011221
4200103233133130120201
5242334003101401311
64415542215535041
7316256102104534
oct40235737343041
97766700658157
102220221122081
11786654a40326
122ba36368a481
1313149accc531
1479660376a1b
153cb467ea671
hex204ef7dc621

2220221122081 has 2 divisors, whose sum is σ = 2220221122082. Its totient is φ = 2220221122080.

The previous prime is 2220221122043. The next prime is 2220221122129. The reversal of 2220221122081 is 1802211220222.

2220221122081 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., 2195185971456 + 25035150625 = 1481616^2 + 158225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2220221122081 is a prime.

It is a super-2 number, since 2×22202211220812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2220221122001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110110561040 + 1110110561041.

It is an arithmetic number, because the mean of its divisors is an integer number (1110110561041).

Almost surely, 22220221122081 is an apocalyptic number.

It is an amenable number.

2220221122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220221122081 is an equidigital number, since it uses as much as digits as its factorization.

2220221122081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 2220221122081 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, eighty-one".