100011111011100 has 216 divisors, whose sum is σ = 321988417460528. Its totient is φ = 25945868160000.

The previous prime is 100011111011099. The next prime is 100011111011153. The reversal of 100011111011100 is 1110111110001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299566467 + ... + 299900133.

Almost surely, 2^{100011111011100} is an apocalyptic number.

100011111011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160994208730264).

100011111011100 is an abundant number, since it is smaller than the sum of its proper divisors (221977306449428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100011111011100 is a wasteful number, since it uses less digits than its factorization.

100011111011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342725 (or 342715 counting only the distinct ones).

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

Adding to 100011111011100 its reverse (1110111110001), we get a palindrome (101121222121101).

It can be divided in two parts, 100011 and 111011100, that added together give a palindrome (111111111).

The spelling of 100011111011100 in words is "one hundred trillion, eleven billion, one hundred eleven million, eleven thousand, one hundred".