1010101011001 has 2 divisors, whose sum is σ = 1010101011002. Its totient is φ = 1010101011000.

The previous prime is 1010101010983. The next prime is 1010101011043. The reversal of 1010101011001 is 1001101010101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 867364392976 + 142736618025 = 931324^2 + 377805^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101011001 - 2⁷ = 1010101010873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010101011091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050505500 + 505050505501.

It is an arithmetic number, because the mean of its divisors is an integer number (505050505501).

Almost surely, 2^{1010101011001} is an apocalyptic number.

It is an amenable number.

1010101011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101011001 is an equidigital number, since it uses as much as digits as its factorization.

1010101011001 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 1010101011001 its reverse (1001101010101), we get a palindrome (2011202021102).

It can be divided in two parts, 101010101 and 1001, that multiplied together give a palindrome (101111111101).

The spelling of 1010101011001 in words is "one trillion, ten billion, one hundred one million, eleven thousand, one".