221101222121010 has 512 divisors, whose sum is σ = 746108986613760. Its totient is φ = 45259532697600.

The previous prime is 221101222120969. The next prime is 221101222121023. The reversal of 221101222121010 is 10121222101122.

221101222121010 is a `hidden beast` number, since 2 + 211 + 0 + 12 + 221 + 210 + 10 = 666.

221101222121010 is digitally balanced in base 2, because in such base 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 (18).

It is a Curzon 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, 372821842 + ... + 373414418.

It is an arithmetic number, because the mean of its divisors is an integer number (1457244114480).

Almost surely, 2^{221101222121010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101222121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373054493306880).

221101222121010 is an abundant number, since it is smaller than the sum of its proper divisors (525007764492750).

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

221101222121010 is a wasteful number, since it uses less digits than its factorization.

221101222121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592879 (or 592873 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221101222121010 its reverse (10121222101122), we get a palindrome (231222444222132).

The spelling of 221101222121010 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred twenty-two million, one hundred twenty-one thousand, ten".