10091000010091 has 64 divisors (see below), whose sum is σ = 14263532236800. Its totient is φ = 6875435779200.

The previous prime is 10091000010073. The next prime is 10091000010107. The reversal of 10091000010091 is 19001000019001.

It is a cyclic number.

It is not a de Polignac number, because 10091000010091 - 2⁵ = 10091000010059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10091000010061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191894440 + ... + 191947018.

It is an arithmetic number, because the mean of its divisors is an integer number (222867691200).

Almost surely, 2^{10091000010091} is an apocalyptic number.

10091000010091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10091000010091 is a deficient number, since it is larger than the sum of its proper divisors (4172532226709).

10091000010091 is a wasteful number, since it uses less digits than its factorization.

10091000010091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62720.

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

Adding to 10091000010091 its reverse (19001000019001), we get a palindrome (29092000029092).

It can be divided in two parts, 100910000 and 10091, that multiplied together give a square (1018282810000 = 1009100²).

The spelling of 10091000010091 in words is "ten trillion, ninety-one billion, ten thousand, ninety-one".