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1010100111001 is a prime number
BaseRepresentation
bin11101011001011101010…
…10001000011010011001
310120120020121120020002021
432230232222020122121
5113022141112023001
62052011130534441
7132656136164542
oct16545652103231
93516217506067
101010100111001
1135a4211a7873
12143920597421
1374337938197
1436c639c94c9
151b41d2ebba1
hexeb2ea88699

1010100111001 has 2 divisors, whose sum is σ = 1010100111002. Its totient is φ = 1010100111000.

The previous prime is 1010100110959. The next prime is 1010100111023. The reversal of 1010100111001 is 1001110010101.

It is a happy number.

1010100111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 594009318400 + 416090792601 = 770720^2 + 645051^2 .

It is an emirp because it is prime and its reverse (1001110010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100111001 - 29 = 1010100110489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010100111091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050055500 + 505050055501.

It is an arithmetic number, because the mean of its divisors is an integer number (505050055501).

Almost surely, 21010100111001 is an apocalyptic number.

It is an amenable number.

1010100111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100111001 is an equidigital number, since it uses as much as digits as its factorization.

1010100111001 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 7.

Adding to 1010100111001 its reverse (1001110010101), we get a palindrome (2011210121102).

The spelling of 1010100111001 in words is "one trillion, ten billion, one hundred million, one hundred eleven thousand, one".