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10111200020221 is a prime number
BaseRepresentation
bin1001001100100011001001…
…1111000100011011111101
31022210121202220200120110211
42103020302133010123331
52311130214201121341
633301004323232421
72062336651046056
oct223106237043375
938717686616424
1010111200020221
1132491548a4083
121173750518711
13584636155b61
1426d55584972d
1512803757c181
hex932327c46fd

10111200020221 has 2 divisors, whose sum is σ = 10111200020222. Its totient is φ = 10111200020220.

The previous prime is 10111200020219. The next prime is 10111200020237. The reversal of 10111200020221 is 12202000211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9136805971225 + 974394048996 = 3022715^2 + 987114^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111200020221 - 21 = 10111200020219 is a prime.

It is a super-3 number, since 3×101112000202213 (a number of 40 digits) contains 333 as substring.

Together with 10111200020219, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111200080221) 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, 5055600010110 + 5055600010111.

It is an arithmetic number, because the mean of its divisors is an integer number (5055600010111).

Almost surely, 210111200020221 is an apocalyptic number.

It is an amenable number.

10111200020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111200020221 is an equidigital number, since it uses as much as digits as its factorization.

10111200020221 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.

Adding to 10111200020221 its reverse (12202000211101), we get a palindrome (22313200231322).

The spelling of 10111200020221 in words is "ten trillion, one hundred eleven billion, two hundred million, twenty thousand, two hundred twenty-one".