100111111011 has 48 divisors (see below), whose sum is σ = 160216696224. Its totient is φ = 59963784192.

The previous prime is 100111110971. The next prime is 100111111013. The reversal of 100111111011 is 110111111001.

It is not a de Polignac number, because 100111111011 - 2¹⁴ = 100111094627 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100111110984 and 100111111002.

It is not an unprimeable number, because it can be changed into a prime (100111111013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133200 + ... + 466866.

It is an arithmetic number, because the mean of its divisors is an integer number (3337847838).

Almost surely, 2^100111111011 is an apocalyptic number.

100111111011 is a deficient number, since it is larger than the sum of its proper divisors (60105585213).

100111111011 is a wasteful number, since it uses less digits than its factorization.

100111111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333780 (or 333777 counting only the distinct ones).

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

Adding to 100111111011 its reverse (110111111001), we get a palindrome (210222222012).

It can be divided in two parts, 100 and 111111011, that added together give a palindrome (111111111).

The spelling of 100111111011 in words is "one hundred billion, one hundred eleven million, one hundred eleven thousand, eleven".