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101101100000501 is a prime number
BaseRepresentation
bin10110111111001101101111…
…001001101110010011110101
3111020222011121111020010000202
4112333031233021232103311
5101222420023100004001
6555005112033050245
730203212335544316
oct2677155711562365
9436864544203022
10101101100000501
112a239810282897
12b40a0a19b6985
134454a3caa2193
141ad746841860d
15ba4d11b0696b
hex5bf36f26e4f5

101101100000501 has 2 divisors, whose sum is σ = 101101100000502. Its totient is φ = 101101100000500.

The previous prime is 101101100000449. The next prime is 101101100000519. The reversal of 101101100000501 is 105000001101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50588381727601 + 50512718272900 = 7112551^2 + 7107230^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101101100000501 is a prime.

It is a super-2 number, since 2×1011011000005012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101100000521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550550000250 + 50550550000251.

It is an arithmetic number, because the mean of its divisors is an integer number (50550550000251).

Almost surely, 2101101100000501 is an apocalyptic number.

It is an amenable number.

101101100000501 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101100000501 is an equidigital number, since it uses as much as digits as its factorization.

101101100000501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 101101100000501 its reverse (105000001101101), we get a palindrome (206101101101602).

The spelling of 101101100000501 in words is "one hundred one trillion, one hundred one billion, one hundred million, five hundred one", and thus it is an aban number.