10091818191001 has 2 divisors, whose sum is σ = 10091818191002. Its totient is φ = 10091818191000.

The previous prime is 10091818190999. The next prime is 10091818191041. The reversal of 10091818191001 is 10019181819001.

10091818191001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10091818191041) can be obtained adding 10091818191001 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8116601571225 + 1975216619776 = 2848965^2 + 1405424^2 .

It is a cyclic number.

It is not a de Polignac number, because 10091818191001 - 2¹ = 10091818190999 is a prime.

It is a super-2 number, since 2×10091818191001² (a number of 27 digits) contains 22 as substring.

Together with 10091818190999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10091818191041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045909095500 + 5045909095501.

It is an arithmetic number, because the mean of its divisors is an integer number (5045909095501).

Almost surely, 2^{10091818191001} is an apocalyptic number.

It is an amenable number.

10091818191001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091818191001 is an equidigital number, since it uses as much as digits as its factorization.

10091818191001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 40.

The spelling of 10091818191001 in words is "ten trillion, ninety-one billion, eight hundred eighteen million, one hundred ninety-one thousand, one".