1011010001001 has 64 divisors (see below), whose sum is σ = 1812856743936. Its totient is φ = 484013376000.

The previous prime is 1011010000997. The next prime is 1011010001017. The reversal of 1011010001001 is 1001000101101.

1011010001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011010001001 - 2² = 1011010000997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011010001021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1580026 + ... + 2125676.

It is an arithmetic number, because the mean of its divisors is an integer number (28325886624).

Almost surely, 2^{1011010001001} is an apocalyptic number.

1011010001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011010001001 is a deficient number, since it is larger than the sum of its proper divisors (801846742935).

1011010001001 is a wasteful number, since it uses less digits than its factorization.

1011010001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546302.

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

Adding to 1011010001001 its reverse (1001000101101), we get a palindrome (2012010102102).

It can be divided in two parts, 10 and 11010001001, that added together give a palindrome (11010001011).

The spelling of 1011010001001 in words is "one trillion, eleven billion, ten million, one thousand, one".