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1220101010221 is a prime number
BaseRepresentation
bin10001110000010011101…
…011111111001100101101
311022122021221022020012111
4101300103223333030231
5124442231324311341
62332301235004021
7154102145320252
oct21602353771455
94278257266174
101220101010221
11430495237635
12178569439611
138b093b9abb2
14430a5dc5429
1521b0e75a681
hex11c13aff32d

1220101010221 has 2 divisors, whose sum is σ = 1220101010222. Its totient is φ = 1220101010220.

The previous prime is 1220101010189. The next prime is 1220101010231.

1220101010221 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1133362514025 + 86738496196 = 1064595^2 + 294514^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1220101010221 - 25 = 1220101010189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1220101010231) 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, 610050505110 + 610050505111.

It is an arithmetic number, because the mean of its divisors is an integer number (610050505111).

Almost surely, 21220101010221 is an apocalyptic number.

It is an amenable number.

1220101010221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1220101010221 is an equidigital number, since it uses as much as digits as its factorization.

1220101010221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 1220101010221 in words is "one trillion, two hundred twenty billion, one hundred one million, ten thousand, two hundred twenty-one".