100100100011103 has 12 divisors (see below), whose sum is σ = 144746366368240. Its totient is φ = 66660784767936.

The previous prime is 100100100011101. The next prime is 100100100011111. The reversal of 100100100011103 is 301110001001001.

It is not a de Polignac number, because 100100100011103 - 2¹ = 100100100011101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100100011101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6051261226 + ... + 6051277767.

Almost surely, 2^{100100100011103} is an apocalyptic number.

100100100011103 is a deficient number, since it is larger than the sum of its proper divisors (44646266357137).

100100100011103 is a wasteful number, since it uses less digits than its factorization.

100100100011103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102539918 (or 12102539915 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100100100011103 its reverse (301110001001001), we get a palindrome (401210101012104).

The spelling of 100100100011103 in words is "one hundred trillion, one hundred billion, one hundred million, eleven thousand, one hundred three".