2210221102100 has 108 divisors (see below), whose sum is σ = 5275961079900. Its totient is φ = 803087577600.

The previous prime is 2210221102087. The next prime is 2210221102147. The reversal of 2210221102100 is 12011220122.

It can be written as a sum of positive squares in 6 ways, for example, as 34755399184 + 2175465702916 = 186428^2 + 1474946^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15526046 + ... + 15667754.

Almost surely, 2^{2210221102100} is an apocalyptic number.

2210221102100 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 2210221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637980539950).

2210221102100 is an abundant number, since it is smaller than the sum of its proper divisors (3065739977800).

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

2210221102100 is a wasteful number, since it uses less digits than its factorization.

2210221102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143034 (or 143016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2210221102100 its reverse (12011220122), we get a palindrome (2222232322222).

The spelling of 2210221102100 in words is "two trillion, two hundred ten billion, two hundred twenty-one million, one hundred two thousand, one hundred".