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10120022221 is a prime number
BaseRepresentation
bin10010110110011001…
…10100100011001101
3222010021121101122211
421123030310203031
5131211211202341
64352111110421
7505532524651
oct113314644315
928107541584
1010120022221
114323541531
121b65212411
13c5382153a
146c0086a61
153e36ba181
hex25b3348cd

10120022221 has 2 divisors, whose sum is σ = 10120022222. Its totient is φ = 10120022220.

The previous prime is 10120022219. The next prime is 10120022309. The reversal of 10120022221 is 12222002101.

It is a happy number.

10120022221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5156819721 + 4963202500 = 71811^2 + 70450^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120022221 - 21 = 10120022219 is a prime.

Together with 10120022219, 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 (10120022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060011110 + 5060011111.

It is an arithmetic number, because the mean of its divisors is an integer number (5060011111).

Almost surely, 210120022221 is an apocalyptic number.

It is an amenable number.

10120022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120022221 is an equidigital number, since it uses as much as digits as its factorization.

10120022221 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 13.

Adding to 10120022221 its reverse (12222002101), we get a palindrome (22342024322).

The spelling of 10120022221 in words is "ten billion, one hundred twenty million, twenty-two thousand, two hundred twenty-one".