921100011001 has 8 divisors (see below), whose sum is σ = 921388694504. Its totient is φ = 920811386880.

The previous prime is 921100010939. The next prime is 921100011017. The reversal of 921100011001 is 100110001129.

It can be written as a sum of positive squares in 4 ways, for example, as 263867142400 + 657232868601 = 513680^2 + 810699^2 .

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 921100011001 - 2²³ = 921091622393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (921100011061) 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, 74078881 + ... + 74091313.

It is an arithmetic number, because the mean of its divisors is an integer number (115173586813).

Almost surely, 2^921100011001 is an apocalyptic number.

It is an amenable number.

921100011001 is a deficient number, since it is larger than the sum of its proper divisors (288683503).

921100011001 is a wasteful number, since it uses less digits than its factorization.

921100011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29691.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 921100011001 in words is "nine hundred twenty-one billion, one hundred million, eleven thousand, one".