1100110112010 has 576 divisors, whose sum is σ = 3849441553152. Its totient is φ = 212540350464.

The previous prime is 1100110111987. The next prime is 1100110112033. The reversal of 1100110112010 is 102110110011.

It is an interprime number because it is at equal distance from previous prime (1100110111987) and next prime (1100110112033).

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 = 1100110111983 and 1100110112001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66961417 + ... + 66977843.

It is an arithmetic number, because the mean of its divisors is an integer number (6683058252).

Almost surely, 2^{1100110112010} is an apocalyptic number.

1100110112010 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 1100110112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924720776576).

1100110112010 is an abundant number, since it is smaller than the sum of its proper divisors (2749331441142).

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

1100110112010 is a wasteful number, since it uses less digits than its factorization.

1100110112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16527 (or 16511 counting only the distinct ones).

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

Adding to 1100110112010 its reverse (102110110011), we get a palindrome (1202220222021).

The spelling of 1100110112010 in words is "one trillion, one hundred billion, one hundred ten million, one hundred twelve thousand, ten".