Search a number
-
+
10102000021 is a prime number
BaseRepresentation
bin10010110100010000…
…00100100110010101
3222002000200202211221
421122020010212111
5131142103000041
64350224530341
7505223404051
oct113210044625
928060622757
1010102000021
114314352153
121b5b1809b1
13c4cb81409
146bb914c61
153e1d0a2d1
hex25a204995

10102000021 has 2 divisors, whose sum is σ = 10102000022. Its totient is φ = 10102000020.

The previous prime is 10101999967. The next prime is 10102000043. The reversal of 10102000021 is 12000020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7195280625 + 2906719396 = 84825^2 + 53914^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102000021 - 223 = 10093611413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101999968 and 10102000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102006021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051000010 + 5051000011.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000011).

Almost surely, 210102000021 is an apocalyptic number.

It is an amenable number.

10102000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102000021 is an equidigital number, since it uses as much as digits as its factorization.

10102000021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10102000021 its reverse (12000020101), we get a palindrome (22102020122).

The spelling of 10102000021 in words is "ten billion, one hundred two million, twenty-one", and thus it is an aban number.