10010009100091 has 32 divisors (see below), whose sum is σ = 13573081783296. Its totient is φ = 7128719280000.

The previous prime is 10010009100037. The next prime is 10010009100107. The reversal of 10010009100091 is 19000190001001.

10010009100091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010009100091 - 2⁴³ = 1213916077883 is a prime.

10010009100091 is a modest number, since divided by 9100091 gives 1001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10010009100001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49403895 + ... + 49606096.

It is an arithmetic number, because the mean of its divisors is an integer number (424158805728).

Almost surely, 2^{10010009100091} is an apocalyptic number.

10010009100091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010009100091 is a deficient number, since it is larger than the sum of its proper divisors (3563072683205).

10010009100091 is a wasteful number, since it uses less digits than its factorization.

10010009100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99010123.

The product of its (nonzero) digits is 81, while the sum is 22.

Adding to 10010009100091 its reverse (19000190001001), we get a palindrome (29010199101092).

The spelling of 10010009100091 in words is "ten trillion, ten billion, nine million, one hundred thousand, ninety-one".