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1221110000081 is a prime number
BaseRepresentation
bin10001110001001111110…
…100111110100111010001
311022201220020220020002022
4101301033310332213101
5130001313130000311
62332545321101225
7154136146512536
oct21611764764721
94281806806068
101221110000081
11430962840654
121787ab327815
138b1c4c34c0a
144315ddd2d8d
1521b6d1155db
hex11c4fd3e9d1

1221110000081 has 2 divisors, whose sum is σ = 1221110000082. Its totient is φ = 1221110000080.

The previous prime is 1221110000009. The next prime is 1221110000093. The reversal of 1221110000081 is 1800000111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1218727681600 + 2382318481 = 1103960^2 + 48809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1221110000081 is a prime.

It is a super-2 number, since 2×12211100000812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1221110000881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610555000040 + 610555000041.

It is an arithmetic number, because the mean of its divisors is an integer number (610555000041).

Almost surely, 21221110000081 is an apocalyptic number.

It is an amenable number.

1221110000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1221110000081 is an equidigital number, since it uses as much as digits as its factorization.

1221110000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

The spelling of 1221110000081 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, eighty-one", and thus it is an aban number.