10091005001 has 32 divisors (see below), whose sum is σ = 12792784896. Its totient is φ = 7731360000.

The previous prime is 10091004983. The next prime is 10091005003. The reversal of 10091005001 is 10050019001.

It is a happy number.

10091005001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10091005001 - 2¹⁰ = 10091003977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10091005003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189966 + ... + 2194568.

It is an arithmetic number, because the mean of its divisors is an integer number (399774528).

Almost surely, 2^10091005001 is an apocalyptic number.

10091005001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10091005001 is a deficient number, since it is larger than the sum of its proper divisors (2701779895).

10091005001 is a wasteful number, since it uses less digits than its factorization.

10091005001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093.

The product of its (nonzero) digits is 45, while the sum is 17.

It can be divided in two parts, 1009100 and 5001, that added together give a palindrome (1014101).

The spelling of 10091005001 in words is "ten billion, ninety-one million, five thousand, one".