Search a number
-
+
10020100150001 is a prime number
BaseRepresentation
bin1001000111001111110010…
…0000101001001011110001
31022110220122000012200001102
42101303330200221023301
52303132131114300001
633151100453014145
72052633264656564
oct221637440511361
938426560180042
1010020100150001
113213556347237
121159b67324355
13578b784c9cc6
14268d928444db
151259a4892e6b
hex91cfc8292f1

10020100150001 has 2 divisors, whose sum is σ = 10020100150002. Its totient is φ = 10020100150000.

The previous prime is 10020100149991. The next prime is 10020100150031. The reversal of 10020100150001 is 10005100102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5051997952225 + 4968102197776 = 2247665^2 + 2228924^2 .

It is an emirp because it is prime and its reverse (10005100102001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10020100150001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020100150031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010050075000 + 5010050075001.

It is an arithmetic number, because the mean of its divisors is an integer number (5010050075001).

Almost surely, 210020100150001 is an apocalyptic number.

It is an amenable number.

10020100150001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020100150001 is an equidigital number, since it uses as much as digits as its factorization.

10020100150001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 10020100150001 its reverse (10005100102001), we get a palindrome (20025200252002).

The spelling of 10020100150001 in words is "ten trillion, twenty billion, one hundred million, one hundred fifty thousand, one".