221021012101110 has 512 divisors, whose sum is σ = 594570089594880. Its totient is φ = 52235908300800.

The previous prime is 221021012101093. The next prime is 221021012101157. The reversal of 221021012101110 is 11101210120122.

It is a happy number.

221021012101110 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221021012101110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148038185524 + ... + 148038187016.

It is an arithmetic number, because the mean of its divisors is an integer number (1161269706240).

Almost surely, 2^{221021012101110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021012101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297285044797440).

221021012101110 is an abundant number, since it is smaller than the sum of its proper divisors (373549077493770).

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

221021012101110 is a wasteful number, since it uses less digits than its factorization.

221021012101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224.

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

Adding to 221021012101110 its reverse (11101210120122), we get a palindrome (232122222221232).

The spelling of 221021012101110 in words is "two hundred twenty-one trillion, twenty-one billion, twelve million, one hundred one thousand, one hundred ten".