1010100001001 has 32 divisors (see below), whose sum is σ = 1272198144000. Its totient is φ = 780626569536.

The previous prime is 1010100000947. The next prime is 1010100001003. The reversal of 1010100001001 is 1001000010101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010100001001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010100001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897580 + ... + 2370866.

It is an arithmetic number, because the mean of its divisors is an integer number (39756192000).

Almost surely, 2^{1010100001001} is an apocalyptic number.

It is an amenable number.

1010100001001 is a deficient number, since it is larger than the sum of its proper divisors (262098142999).

1010100001001 is a wasteful number, since it uses less digits than its factorization.

1010100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473853.

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

Adding to 1010100001001 its reverse (1001000010101), we get a palindrome (2011100011102).

The spelling of 1010100001001 in words is "one trillion, ten billion, one hundred million, one thousand, one".