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21101222201 is a prime number
BaseRepresentation
bin10011101001101110…
…110001100100111001
32000110120200011010012
4103221232301210321
5321203403102301
613405504231305
71344623300153
oct235156614471
960416604105
1021101222201
118a490a9614
12410a90b535
131cb38959c7
141042661ad3
15837793ebb
hex4e9bb1939

21101222201 has 2 divisors, whose sum is σ = 21101222202. Its totient is φ = 21101222200.

The previous prime is 21101222183. The next prime is 21101222203. The reversal of 21101222201 is 10222210112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21072877225 + 28344976 = 145165^2 + 5324^2 .

It is a cyclic number.

It is not a de Polignac number, because 21101222201 - 234 = 3921353017 is a prime.

Together with 21101222203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (21101222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550611100 + 10550611101.

It is an arithmetic number, because the mean of its divisors is an integer number (10550611101).

Almost surely, 221101222201 is an apocalyptic number.

It is an amenable number.

21101222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101222201 is an equidigital number, since it uses as much as digits as its factorization.

21101222201 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 14.

Adding to 21101222201 its reverse (10222210112), we get a palindrome (31323432313).

The spelling of 21101222201 in words is "twenty-one billion, one hundred one million, two hundred twenty-two thousand, two hundred one".