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1010000100101 is a prime number
BaseRepresentation
bin11101011001010001011…
…00100111101100000101
310120112222122101010220212
432230220230213230011
5113021440011200401
62051553155205205
7132653513125556
oct16545054475405
93515878333825
101010000100101
1135a37a7a9133
121438b2ba6805
137431ccbc735
1436c545d432d
151b414643dbb
hexeb28b27b05

1010000100101 has 2 divisors, whose sum is σ = 1010000100102. Its totient is φ = 1010000100100.

The previous prime is 1010000100071. The next prime is 1010000100163. The reversal of 1010000100101 is 1010010000101.

1010000100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 829421847076 + 180578253025 = 910726^2 + 424945^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010000100101 - 230 = 1008926358277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010000100191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000050050 + 505000050051.

It is an arithmetic number, because the mean of its divisors is an integer number (505000050051).

Almost surely, 21010000100101 is an apocalyptic number.

It is an amenable number.

1010000100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010000100101 is an equidigital number, since it uses as much as digits as its factorization.

1010000100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010000100101 its reverse (1010010000101), we get a palindrome (2020010100202).

The spelling of 1010000100101 in words is "one trillion, ten billion, one hundred thousand, one hundred one".