100011011111010 has 64 divisors (see below), whose sum is σ = 266697108437760. Its totient is φ = 26669495082240.

The previous prime is 100011011111009. The next prime is 100011011111027. The reversal of 100011011111010 is 10111110110001.

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 = 100011011110983 and 100011011111001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83730954 + ... + 84916986.

It is an arithmetic number, because the mean of its divisors is an integer number (4167142319340).

Almost surely, 2^{100011011111010} is an apocalyptic number.

100011011111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100011011111010 is an abundant number, since it is smaller than the sum of its proper divisors (166686097326750).

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

100011011111010 is a wasteful number, since it uses less digits than its factorization.

100011011111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498360 (or 1498354 counting only the distinct ones).

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

Adding to 100011011111010 its reverse (10111110110001), we get a palindrome (110122121221011).

The spelling of 100011011111010 in words is "one hundred trillion, eleven billion, eleven million, one hundred eleven thousand, ten".