100011091103 has 128 divisors (see below), whose sum is σ = 141668352000. Its totient is φ = 68723043840.

The previous prime is 100011091097. The next prime is 100011091111. The reversal of 100011091103 is 301190110001.

It is not a de Polignac number, because 100011091103 - 2⁸ = 100011090847 is a prime.

It is a super-2 number, since 2×100011091103² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011091133) 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, 502568198 + ... + 502568396.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784000).

Almost surely, 2^100011091103 is an apocalyptic number.

100011091103 is a deficient number, since it is larger than the sum of its proper divisors (41657260897).

100011091103 is a wasteful number, since it uses less digits than its factorization.

100011091103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 17.

The spelling of 100011091103 in words is "one hundred billion, eleven million, ninety-one thousand, one hundred three".