220221112121010 has 1536 divisors, whose sum is σ = 794039500800000. Its totient is φ = 40877561088000.

The previous prime is 220221112120981. The next prime is 220221112121041. The reversal of 220221112121010 is 10121211122022.

220221112121010 is a `hidden beast` number, since 220 + 2 + 211 + 1 + 21 + 210 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 209534834985 + ... + 209534836035.

It is an arithmetic number, because the mean of its divisors is an integer number (516952800000).

Almost surely, 2^{220221112121010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221112121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397019750400000).

220221112121010 is an abundant number, since it is smaller than the sum of its proper divisors (573818388678990).

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

220221112121010 is a wasteful number, since it uses less digits than its factorization.

220221112121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1729 counting only the distinct ones).

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

Adding to 220221112121010 its reverse (10121211122022), we get a palindrome (230342323243032).

The spelling of 220221112121010 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, ten".