10091910919001 has 2 divisors, whose sum is σ = 10091910919002. Its totient is φ = 10091910919000.

The previous prime is 10091910918953. The next prime is 10091910919009. The reversal of 10091910919001 is 10091901919001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10041445542976 + 50465376025 = 3168824^2 + 224645^2 .

It is a cyclic number.

It is not a de Polignac number, because 10091910919001 - 2¹⁸ = 10091910656857 is a prime.

It is a super-3 number, since 3×10091910919001³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10091910919001.

It is not a weakly prime, because it can be changed into another prime (10091910919009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5045955459500 + 5045955459501.

It is an arithmetic number, because the mean of its divisors is an integer number (5045955459501).

Almost surely, 2^{10091910919001} is an apocalyptic number.

It is an amenable number.

10091910919001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10091910919001 is an equidigital number, since it uses as much as digits as its factorization.

10091910919001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6561, while the sum is 41.

Subtracting from 10091910919001 its reverse (10091901919001), we obtain a square (9000000 = 3000²).

The spelling of 10091910919001 in words is "ten trillion, ninety-one billion, nine hundred ten million, nine hundred nineteen thousand, one".