110011101012 has 216 divisors, whose sum is σ = 311726961000. Its totient is φ = 32594558976.

The previous prime is 110011101001. The next prime is 110011101023. The reversal of 110011101012 is 210101110011.

It is an interprime number because it is at equal distance from previous prime (110011101001) and next prime (110011101023).

It can be written as a sum of positive squares in 4 ways, for example, as 7685327556 + 102325773456 = 87666^2 + 319884^2 .

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 = 110011100985 and 110011101003.

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 71 ways as a sum of consecutive naturals, for example, 99197914 + ... + 99199022.

It is an arithmetic number, because the mean of its divisors is an integer number (1443180375).

Almost surely, 2^110011101012 is an apocalyptic number.

110011101012 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 110011101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155863480500).

110011101012 is an abundant number, since it is smaller than the sum of its proper divisors (201715859988).

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

110011101012 is a wasteful number, since it uses less digits than its factorization.

110011101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110011101012 its reverse (210101110011), we get a palindrome (320112211023).

The spelling of 110011101012 in words is "one hundred ten billion, eleven million, one hundred one thousand, twelve".