1000000100001 has 24 divisors (see below), whose sum is σ = 1578166767424. Its totient is φ = 551724183360.

The previous prime is 1000000099841. The next prime is 1000000100003. The reversal of 1000000100001 is 1000010000001.

It is not a de Polignac number, because 1000000100001 - 2¹¹ = 1000000097953 is a prime.

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

It is a Duffinian number.

1000000100001 is a modest number, since divided by 100001 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000000100003) 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 23 ways as a sum of consecutive naturals, for example, 28293310 + ... + 28328631.

Almost surely, 2^{1000000100001} is an apocalyptic number.

It is an amenable number.

1000000100001 is a deficient number, since it is larger than the sum of its proper divisors (578166667423).

1000000100001 is an equidigital number, since it uses as much as digits as its factorization.

1000000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56622009 (or 56621980 counting only the distinct ones).

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

Adding to 1000000100001 its reverse (1000010000001), we get a palindrome (2000010100002).

The spelling of 1000000100001 in words is "one trillion, one hundred thousand, one".