100011101123 has 16 divisors (see below), whose sum is σ = 103632646656. Its totient is φ = 96456225600.

The previous prime is 100011101119. The next prime is 100011101171. The reversal of 100011101123 is 321101110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011101123 - 2² = 100011101119 is a prime.

It is a super-2 number, since 2×100011101123² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011103123) 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, 1038215 + ... + 1130447.

It is an arithmetic number, because the mean of its divisors is an integer number (6477040416).

Almost surely, 2^100011101123 is an apocalyptic number.

100011101123 is a deficient number, since it is larger than the sum of its proper divisors (3621545533).

100011101123 is a wasteful number, since it uses less digits than its factorization.

100011101123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92594.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100011101123 its reverse (321101110001), we get a palindrome (421112211124).

The spelling of 100011101123 in words is "one hundred billion, eleven million, one hundred one thousand, one hundred twenty-three".