221010220010100 has 144 divisors (see below), whose sum is σ = 646195578336000. Its totient is φ = 58315658688000.

The previous prime is 221010220010089. The next prime is 221010220010159. The reversal of 221010220010100 is 1010022010122.

221010220010100 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45661026 + ... + 50268774.

It is an arithmetic number, because the mean of its divisors is an integer number (4487469294000).

Almost surely, 2^{221010220010100} is an apocalyptic number.

221010220010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221010220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323097789168000).

221010220010100 is an abundant number, since it is smaller than the sum of its proper divisors (425185358325900).

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

221010220010100 is a wasteful number, since it uses less digits than its factorization.

221010220010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4609450 (or 4609443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221010220010100 its reverse (1010022010122), we get a palindrome (222020242020222).

The spelling of 221010220010100 in words is "two hundred twenty-one trillion, ten billion, two hundred twenty million, ten thousand, one hundred".