91110100021001 has 8 divisors (see below), whose sum is σ = 91729343435400. Its totient is φ = 90490960156672.

The previous prime is 91110100020959. The next prime is 91110100021033. The reversal of 91110100021001 is 10012000101119.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100885005376 + 91009215015625 = 317624^2 + 9539875^2 .

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 91110100021001 - 2¹⁸ = 91110099758857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91110100021301) 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, 24121400 + ... + 27641673.

It is an arithmetic number, because the mean of its divisors is an integer number (11466167929425).

Almost surely, 2^{91110100021001} is an apocalyptic number.

It is an amenable number.

91110100021001 is a deficient number, since it is larger than the sum of its proper divisors (619243414399).

91110100021001 is a wasteful number, since it uses less digits than its factorization.

91110100021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51775035.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 91110100021001 in words is "ninety-one trillion, one hundred ten billion, one hundred million, twenty-one thousand, one".