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100201330081 is a prime number
BaseRepresentation
bin101110101010001110…
…1101111010110100001
3100120122012110222012101
41131110131233112201
53120203020030311
6114010514130401
710145040152446
oct1352435572641
9316565428171
10100201330081
113954a0473a6
1217505280a01
1395ab441278
144bc7aab9cd
152916c57ec1
hex175476f5a1

100201330081 has 2 divisors, whose sum is σ = 100201330082. Its totient is φ = 100201330080.

The previous prime is 100201330067. The next prime is 100201330171. The reversal of 100201330081 is 180033102001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95506339681 + 4694990400 = 309041^2 + 68520^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201330081 - 213 = 100201321889 is a prime.

It is a super-2 number, since 2×1002013300812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100201300081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100665040 + 50100665041.

It is an arithmetic number, because the mean of its divisors is an integer number (50100665041).

Almost surely, 2100201330081 is an apocalyptic number.

It is an amenable number.

100201330081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201330081 is an equidigital number, since it uses as much as digits as its factorization.

100201330081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100201330081 its reverse (180033102001), we get a palindrome (280234432082).

The spelling of 100201330081 in words is "one hundred billion, two hundred one million, three hundred thirty thousand, eighty-one".