9901001001 has 8 divisors (see below), whose sum is σ = 13201994880. Its totient is φ = 6600337232.

The previous prime is 9901000961. The next prime is 9901001009. The reversal of 9901001001 is 1001001099.

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 9901001001 - 2¹⁴ = 9900984617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9901001009) 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, 1050 + ... + 140723.

It is an arithmetic number, because the mean of its divisors is an integer number (1650249360).

Almost surely, 2^9901001001 is an apocalyptic number.

It is an amenable number.

9901001001 is a deficient number, since it is larger than the sum of its proper divisors (3300993879).

9901001001 is a wasteful number, since it uses less digits than its factorization.

9901001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165055.

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 9901001001 is about 99503.7738028061. The cubic root of 9901001001 is about 2147.3015362279.

The spelling of 9901001001 in words is "nine billion, nine hundred one million, one thousand, one".