100011010111110 has 384 divisors, whose sum is σ = 302998098124800. Its totient is φ = 22413870858240.

The previous prime is 100011010111081. The next prime is 100011010111121. The reversal of 100011010111110 is 11111010110001.

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 = 100011010111092 and 100011010111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34285569372 + ... + 34285572288.

It is an arithmetic number, because the mean of its divisors is an integer number (789057547200).

Almost surely, 2^{100011010111110} is an apocalyptic number.

100011010111110 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 100011010111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151499049062400).

100011010111110 is an abundant number, since it is smaller than the sum of its proper divisors (202987088013690).

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

100011010111110 is a wasteful number, since it uses less digits than its factorization.

100011010111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5073 counting only the distinct ones).

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

Adding to 100011010111110 its reverse (11111010110001), we get a palindrome (111122020221111).

The spelling of 100011010111110 in words is "one hundred trillion, eleven billion, ten million, one hundred eleven thousand, one hundred ten".