1010001101001 has 16 divisors (see below), whose sum is σ = 1360117700928. Its totient is φ = 666610424000.

The previous prime is 1010001100993. The next prime is 1010001101003. The reversal of 1010001101001 is 1001011000101.

It is a cyclic number.

It is not a de Polignac number, because 1010001101001 - 2³ = 1010001100993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010001101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3568471 + ... + 3841091.

It is an arithmetic number, because the mean of its divisors is an integer number (85007356308).

Almost surely, 2^{1010001101001} is an apocalyptic number.

It is an amenable number.

1010001101001 is a deficient number, since it is larger than the sum of its proper divisors (350116599927).

1010001101001 is a wasteful number, since it uses less digits than its factorization.

1010001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284952.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1010001101001 its reverse (1001011000101), we get a palindrome (2011012101102).

The spelling of 1010001101001 in words is "one trillion, ten billion, one million, one hundred one thousand, one".