100101111111 has 12 divisors (see below), whose sum is σ = 144593238192. Its totient is φ = 66732807456.

The previous prime is 100101111107. The next prime is 100101111113. The reversal of 100101111111 is 111111101001.

It is not a de Polignac number, because 100101111111 - 2² = 100101111107 is a prime.

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

100101111111 is a modest number, since divided by 111111 gives 100101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 100101111093 and 100101111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101111113) 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, 855915 + ... + 965811.

It is an arithmetic number, because the mean of its divisors is an integer number (12049436516).

Almost surely, 2^100101111111 is an apocalyptic number.

100101111111 is a deficient number, since it is larger than the sum of its proper divisors (44492127081).

100101111111 is a wasteful number, since it uses less digits than its factorization.

100101111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211110 (or 211107 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100101111111 its reverse (111111101001), we get a palindrome (211212212112).

The spelling of 100101111111 in words is "one hundred billion, one hundred one million, one hundred eleven thousand, one hundred eleven".