1010009100001 has 8 divisors (see below), whose sum is σ = 1101841458624. Its totient is φ = 918178966320.

The previous prime is 1010009099933. The next prime is 1010009100007. The reversal of 1010009100001 is 1000019000101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1010009100001 - 2¹³ = 1010009091809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010009100007) 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 7 ways as a sum of consecutive naturals, for example, 476275 + ... + 1498951.

It is an arithmetic number, because the mean of its divisors is an integer number (137730182328).

Almost surely, 2^{1010009100001} is an apocalyptic number.

1010009100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010009100001 is a deficient number, since it is larger than the sum of its proper divisors (91832358623).

1010009100001 is a wasteful number, since it uses less digits than its factorization.

1010009100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112471.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 1010009100001 in words is "one trillion, ten billion, nine million, one hundred thousand, one".