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1011120221 is a prime number
BaseRepresentation
bin111100010001000…
…111100001011101
32121110121020012002
4330101013201131
54032321321341
6244155452045
734025244236
oct7421074135
92543536162
101011120221
11479829651
12242757025
131316318b7
149840408d
155db7b29b
hex3c44785d

1011120221 has 2 divisors, whose sum is σ = 1011120222. Its totient is φ = 1011120220.

The previous prime is 1011120217. The next prime is 1011120223. The reversal of 1011120221 is 1220211101.

1011120221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 900660121 + 110460100 = 30011^2 + 10510^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011120221 - 22 = 1011120217 is a prime.

It is a Sophie Germain prime.

Together with 1011120223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011120223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505560110 + 505560111.

It is an arithmetic number, because the mean of its divisors is an integer number (505560111).

Almost surely, 21011120221 is an apocalyptic number.

It is an amenable number.

1011120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011120221 is an equidigital number, since it uses as much as digits as its factorization.

1011120221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1011120221 is about 31798.1166266180. The cubic root of 1011120221 is about 1003.6930846691.

Adding to 1011120221 its reverse (1220211101), we get a palindrome (2231331322).

It can be divided in two parts, 10111 and 20221, that multiplied together give a triangular number (204454531 = T20221).

The spelling of 1011120221 in words is "one billion, eleven million, one hundred twenty thousand, two hundred twenty-one".