1001000010101 has 32 divisors (see below), whose sum is σ = 1246114060800. Its totient is φ = 782945243136.

The previous prime is 1001000010071. The next prime is 1001000010119. The reversal of 1001000010101 is 1010100001001.

It is not a de Polignac number, because 1001000010101 - 2³⁴ = 983820140917 is a prime.

1001000010101 is a modest number, since divided by 10101 gives 1001 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000010181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7765625 + ... + 7893473.

It is an arithmetic number, because the mean of its divisors is an integer number (38941064400).

Almost surely, 2^{1001000010101} is an apocalyptic number.

It is an amenable number.

1001000010101 is a deficient number, since it is larger than the sum of its proper divisors (245114050699).

1001000010101 is a wasteful number, since it uses less digits than its factorization.

1001000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128853.

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

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

The spelling of 1001000010101 in words is "one trillion, one billion, ten thousand, one hundred one".