100001010099991 has 128 divisors (see below), whose sum is σ = 143614987794432. Its totient is φ = 67007692800000.

The previous prime is 100001010099961. The next prime is 100001010100031. The reversal of 100001010099991 is 199990010100001.

It is a cyclic number.

It is not a de Polignac number, because 100001010099991 - 2⁵ = 100001010099959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010099901) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8031558316 + ... + 8031570766.

It is an arithmetic number, because the mean of its divisors is an integer number (1121992092144).

Almost surely, 2^{100001010099991} is an apocalyptic number.

100001010099991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001010099991 is a deficient number, since it is larger than the sum of its proper divisors (43613977694441).

100001010099991 is a wasteful number, since it uses less digits than its factorization.

100001010099991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17273.

The product of its (nonzero) digits is 6561, while the sum is 40.

Adding to 100001010099991 its reverse (199990010100001), we get a palindrome (299991020199992).

The spelling of 100001010099991 in words is "one hundred trillion, one billion, ten million, ninety-nine thousand, nine hundred ninety-one".