10010091001001 has 24 divisors (see below), whose sum is σ = 12752658354240. Its totient is φ = 7785833463072.

The previous prime is 10010091000983. The next prime is 10010091001081. The reversal of 10010091001001 is 10010019001001.

It is a happy number.

10010091001001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010091001001 - 2³⁴ = 9992911131817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010091001081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133135541 + ... + 133210706.

It is an arithmetic number, because the mean of its divisors is an integer number (531360764760).

Almost surely, 2^{10010091001001} is an apocalyptic number.

It is an amenable number.

10010091001001 is a deficient number, since it is larger than the sum of its proper divisors (2742567353239).

10010091001001 is a wasteful number, since it uses less digits than its factorization.

10010091001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266346333 (or 266346326 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10010091001001 in words is "ten trillion, ten billion, ninety-one million, one thousand, one".