1000000010001 has 16 divisors (see below), whose sum is σ = 1358564555520. Its totient is φ = 654052439040.

The previous prime is 1000000009999. The next prime is 1000000010021. The reversal of 1000000010001 is 1000100000001.

It is not a de Polignac number, because 1000000010001 - 2¹ = 1000000009999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

1000000010001 is a modest number, since divided by 10001 gives 10000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000000010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2934385 + ... + 3257393.

It is an arithmetic number, because the mean of its divisors is an integer number (84910284720).

Almost surely, 2^{1000000010001} is an apocalyptic number.

It is an amenable number.

1000000010001 is a deficient number, since it is larger than the sum of its proper divisors (358564545519).

1000000010001 is a wasteful number, since it uses less digits than its factorization.

1000000010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342536.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 1000000010001 its reverse (1000100000001), we get a palindrome (2000100010002).

The spelling of 1000000010001 in words is "one trillion, ten thousand, one".