1000010100001 has 12 divisors (see below), whose sum is σ = 1099306773712. Its totient is φ = 908999091000.

The previous prime is 1000010099987. The next prime is 1000010100007.

1000010100001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1000010100001 - 2⁷ = 1000010099873 is a prime.

1000010100001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000010100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645466 + ... + 1554556.

Almost surely, 2^{1000010100001} is an apocalyptic number.

1000010100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000010100001 is a deficient number, since it is larger than the sum of its proper divisors (99296673711).

1000010100001 is an equidigital number, since it uses as much as digits as its factorization.

1000010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918204 (or 918193 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 1000010 and 100001, that added together give a palindrome (1100011).

The spelling of 1000010100001 in words is "one trillion, ten million, one hundred thousand, one".