10000919191001 has 8 divisors (see below), whose sum is σ = 10005747481704. Its totient is φ = 9996091822080.

The previous prime is 10000919190979. The next prime is 10000919191013. The reversal of 10000919191001 is 10019191900001.

It can be written as a sum of positive squares in 4 ways, for example, as 1841761123225 + 8159158067776 = 1357115^2 + 2856424^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000919191001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10000919191091) 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, 21988445 + ... + 22438661.

It is an arithmetic number, because the mean of its divisors is an integer number (1250718435213).

Almost surely, 2^{10000919191001} is an apocalyptic number.

It is an amenable number.

10000919191001 is a deficient number, since it is larger than the sum of its proper divisors (4828290703).

10000919191001 is an equidigital number, since it uses as much as digits as its factorization.

10000919191001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460891.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 10000919191001 in words is "ten trillion, nine hundred nineteen million, one hundred ninety-one thousand, one".