110101000032 has 384 divisors, whose sum is σ = 340063920000. Its totient is φ = 34607333376.

The previous prime is 110100999959. The next prime is 110101000057. The reversal of 110101000032 is 230000101011.

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 = 110100999978 and 110101000023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216308194 + ... + 216308702.

It is an arithmetic number, because the mean of its divisors is an integer number (885583125).

Almost surely, 2^110101000032 is an apocalyptic number.

110101000032 is a gapful number since it is divisible by the number (12) 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 110101000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170031960000).

110101000032 is an abundant number, since it is smaller than the sum of its proper divisors (229962919968).

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

110101000032 is a wasteful number, since it uses less digits than its factorization.

110101000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110101000032 its reverse (230000101011), we get a palindrome (340101101043).

The spelling of 110101000032 in words is "one hundred ten billion, one hundred one million, thirty-two", and thus it is an aban number.