100111011111100 has 144 divisors (see below), whose sum is σ = 238693808618496. Its totient is φ = 36142670304000.

The previous prime is 100111011111091. The next prime is 100111011111101. The reversal of 100111011111100 is 1111110111001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111011111101) 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, 212358249 + ... + 212829151.

It is an arithmetic number, because the mean of its divisors is an integer number (1657595893184).

Almost surely, 2^{100111011111100} is an apocalyptic number.

100111011111100 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 100111011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119346904309248).

100111011111100 is an abundant number, since it is smaller than the sum of its proper divisors (138582797507396).

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

100111011111100 is a wasteful number, since it uses less digits than its factorization.

100111011111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472316 (or 472309 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100111011111100 its reverse (1111110111001), we get a palindrome (101222121222101).

The spelling of 100111011111100 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred".