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10020030101 is a prime number
BaseRepresentation
bin10010101010011110…
…11000011010010101
3221212022110021020222
421111033120122111
5131010111430401
64334140004125
7503206564514
oct112517303225
927768407228
1010020030101
114282055a14
121b37830645
13c38bb14c3
146b0a9867b
153d9a17c1b
hex2553d8695

10020030101 has 2 divisors, whose sum is σ = 10020030102. Its totient is φ = 10020030100.

The previous prime is 10020030089. The next prime is 10020030127. The reversal of 10020030101 is 10103002001.

10020030101 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., 9414820900 + 605209201 = 97030^2 + 24601^2 .

It is an emirp because it is prime and its reverse (10103002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10020030101 - 218 = 10019767957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020030131) 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, 5010015050 + 5010015051.

It is an arithmetic number, because the mean of its divisors is an integer number (5010015051).

Almost surely, 210020030101 is an apocalyptic number.

It is an amenable number.

10020030101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020030101 is an equidigital number, since it uses as much as digits as its factorization.

10020030101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10020030101 its reverse (10103002001), we get a palindrome (20123032102).

The spelling of 10020030101 in words is "ten billion, twenty million, thirty thousand, one hundred one".