10001111100091 has 8 divisors (see below), whose sum is σ = 10074565695600. Its totient is φ = 9927677992800.

The previous prime is 10001111100059. The next prime is 10001111100143. The reversal of 10001111100091 is 19000111110001.

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 10001111100091 - 2⁵ = 10001111100059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001111100011) 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, 4437196 + ... + 6300073.

It is an arithmetic number, because the mean of its divisors is an integer number (1259320711950).

Almost surely, 2^{10001111100091} is an apocalyptic number.

10001111100091 is a deficient number, since it is larger than the sum of its proper divisors (73454595509).

10001111100091 is a wasteful number, since it uses less digits than its factorization.

10001111100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10744109.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 10001111100091 its reverse (19000111110001), we get a palindrome (29001222210092).

The spelling of 10001111100091 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, ninety-one".