110111221022010 has 256 divisors, whose sum is σ = 290876112253440. Its totient is φ = 26512198225920.

The previous prime is 110111221021969. The next prime is 110111221022071. The reversal of 110111221022010 is 10220122111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 127 ways as a sum of consecutive naturals, for example, 3711307456 + ... + 3711337124.

It is an arithmetic number, because the mean of its divisors is an integer number (1136234813490).

Almost surely, 2^{110111221022010} is an apocalyptic number.

110111221022010 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 110111221022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145438056126720).

110111221022010 is an abundant number, since it is smaller than the sum of its proper divisors (180764891231430).

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

110111221022010 is a wasteful number, since it uses less digits than its factorization.

110111221022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30753.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110111221022010 its reverse (10220122111011), we get a palindrome (120331343133021).

The spelling of 110111221022010 in words is "one hundred ten trillion, one hundred eleven billion, two hundred twenty-one million, twenty-two thousand, ten".