110221111010010 has 768 divisors, whose sum is σ = 376938203443200. Its totient is φ = 20015934935040.

The previous prime is 110221111009967. The next prime is 110221111010033. The reversal of 110221111010010 is 10010111122011.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11968842286 + ... + 11968851494.

It is an arithmetic number, because the mean of its divisors is an integer number (490804952400).

Almost surely, 2^{110221111010010} is an apocalyptic number.

110221111010010 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 110221111010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188469101721600).

110221111010010 is an abundant number, since it is smaller than the sum of its proper divisors (266717092433190).

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

110221111010010 is a wasteful number, since it uses less digits than its factorization.

110221111010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11187 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110221111010010 its reverse (10010111122011), we get a palindrome (120231222132021).

It can be divided in two parts, 1102 and 21111010010, that added together give a palindrome (21111011112).

The spelling of 110221111010010 in words is "one hundred ten trillion, two hundred twenty-one billion, one hundred eleven million, ten thousand, ten".