100011101011110 has 384 divisors, whose sum is σ = 289827699243264. Its totient is φ = 23818022092800.

The previous prime is 100011101011097. The next prime is 100011101011111. The reversal of 100011101011110 is 11110101110001.

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 = 100011101011092 and 100011101011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011101011111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 500955310 + ... + 501154910.

It is an arithmetic number, because the mean of its divisors is an integer number (754759633446).

Almost surely, 2^{100011101011110} is an apocalyptic number.

100011101011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011101011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144913849621632).

100011101011110 is an abundant number, since it is smaller than the sum of its proper divisors (189816598232154).

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

100011101011110 is a wasteful number, since it uses less digits than its factorization.

100011101011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199888 (or 199885 counting only the distinct ones).

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

Adding to 100011101011110 its reverse (11110101110001), we get a palindrome (111121202121111).

The spelling of 100011101011110 in words is "one hundred trillion, eleven billion, one hundred one million, eleven thousand, one hundred ten".