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10101011100001 is a prime number
BaseRepresentation
bin1001001011111101001100…
…1011011011000101100001
31022202122110211102210112021
42102333103023123011201
52310443332320200001
633252201311301441
72061526320464233
oct222772313330541
938678424383467
1010101011100001
1132448a6484558
12117178821a881
135836a1290593
1426cc6a58a253
15127b3cd02ba1
hex92fd32db161

10101011100001 has 2 divisors, whose sum is σ = 10101011100002. Its totient is φ = 10101011100000.

The previous prime is 10101011099981. The next prime is 10101011100007. The reversal of 10101011100001 is 10000111010101.

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., 9399135771601 + 701875328400 = 3065801^2 + 837780^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101011100001 - 241 = 7901987844449 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101011100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050505550000 + 5050505550001.

It is an arithmetic number, because the mean of its divisors is an integer number (5050505550001).

Almost surely, 210101011100001 is an apocalyptic number.

It is an amenable number.

10101011100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101011100001 is an equidigital number, since it uses as much as digits as its factorization.

10101011100001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101011100001 its reverse (10000111010101), we get a palindrome (20101122110102).

The spelling of 10101011100001 in words is "ten trillion, one hundred one billion, eleven million, one hundred thousand, one".