1000100009191 has 16 divisors (see below), whose sum is σ = 1078874818560. Its totient is φ = 923958774720.

The previous prime is 1000100009113. The next prime is 1000100009239. The reversal of 1000100009191 is 1919000010001.

It is a cyclic number.

It is not a de Polignac number, because 1000100009191 - 2⁷ = 1000100009063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100009291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554810 + ... + 2101816.

It is an arithmetic number, because the mean of its divisors is an integer number (67429676160).

Almost surely, 2^{1000100009191} is an apocalyptic number.

1000100009191 is a deficient number, since it is larger than the sum of its proper divisors (78774809369).

1000100009191 is a wasteful number, since it uses less digits than its factorization.

1000100009191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549414.

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

Adding to 1000100009191 its reverse (1919000010001), we get a palindrome (2919100019192).

The spelling of 1000100009191 in words is "one trillion, one hundred million, nine thousand, one hundred ninety-one".