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100010001071 is a prime number
BaseRepresentation
bin101110100100100001…
…1111000001010101111
3100120010212110110010202
41131021003320022233
53114310030013241
6113535521224115
710140224661101
oct1351103701257
9316125413122
10100010001071
1139461047052
121747119203b
13957a901936
144baa505571
152905062d9b
hex17490f82af

100010001071 has 2 divisors, whose sum is σ = 100010001072. Its totient is φ = 100010001070.

The previous prime is 100010001059. The next prime is 100010001101. The reversal of 100010001071 is 170100010001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100010001071 is a prime.

It is a super-2 number, since 2×1000100010712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005000535 + 50005000536.

It is an arithmetic number, because the mean of its divisors is an integer number (50005000536).

Almost surely, 2100010001071 is an apocalyptic number.

100010001071 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010001071 is an equidigital number, since it uses as much as digits as its factorization.

100010001071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 100010001071 its reverse (170100010001), we get a palindrome (270110011072).

The spelling of 100010001071 in words is "one hundred billion, ten million, one thousand, seventy-one".