2102221001100 has 144 divisors (see below), whose sum is σ = 6642526101120. Its totient is φ = 509080012800.

The previous prime is 2102221001059. The next prime is 2102221001107. The reversal of 2102221001100 is 11001222012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2102221001107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2722839 + ... + 3408561.

It is an arithmetic number, because the mean of its divisors is an integer number (46128653480).

Almost surely, 2^{2102221001100} is an apocalyptic number.

2102221001100 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 2102221001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321263050560).

2102221001100 is an abundant number, since it is smaller than the sum of its proper divisors (4540305100020).

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

2102221001100 is a wasteful number, since it uses less digits than its factorization.

2102221001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686680 (or 686673 counting only the distinct ones).

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

Adding to 2102221001100 its reverse (11001222012), we get a palindrome (2113222223112).

The spelling of 2102221001100 in words is "two trillion, one hundred two billion, two hundred twenty-one million, one thousand, one hundred".