1000100091001 has 8 divisors (see below), whose sum is σ = 1091072686464. Its totient is φ = 909136563120.

The previous prime is 1000100090917. The next prime is 1000100091047. The reversal of 1000100091001 is 1001900010001.

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

It is a cyclic number.

It is not a de Polignac number, because 1000100091001 - 2¹⁵ = 1000100058233 is a prime.

It is a super-3 number, since 3×1000100091001³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000100091071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2035246 + ... + 2478391.

It is an arithmetic number, because the mean of its divisors is an integer number (136384085808).

Almost surely, 2^{1000100091001} is an apocalyptic number.

1000100091001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000100091001 is a deficient number, since it is larger than the sum of its proper divisors (90972595463).

1000100091001 is a wasteful number, since it uses less digits than its factorization.

1000100091001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533791.

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

The spelling of 1000100091001 in words is "one trillion, one hundred million, ninety-one thousand, one".