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10101000241 is a prime number
BaseRepresentation
bin10010110100001000…
…10000100000110001
3222001221210222102001
421122010100200301
5131141324001431
64350151254001
7505212041203
oct113204204061
928057728361
1010101000241
114313829a92
121b5a97a301
13c4c8c1327
146bb734773
153e1bade61
hex25a110831

10101000241 has 2 divisors, whose sum is σ = 10101000242. Its totient is φ = 10101000240.

The previous prime is 10101000149. The next prime is 10101000323. The reversal of 10101000241 is 14200010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6865779600 + 3235220641 = 82860^2 + 56879^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000241 - 229 = 9564129329 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101000341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500120 + 5050500121.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500121).

Almost surely, 210101000241 is an apocalyptic number.

It is an amenable number.

10101000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000241 is an equidigital number, since it uses as much as digits as its factorization.

10101000241 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 10.

Adding to 10101000241 its reverse (14200010101), we get a palindrome (24301010342).

The spelling of 10101000241 in words is "ten billion, one hundred one million, two hundred forty-one", and thus it is an aban number.