2101022221200 has 240 divisors, whose sum is σ = 7694928671616. Its totient is φ = 480034713600.

The previous prime is 2101022221187. The next prime is 2101022221201. The reversal of 2101022221200 is 21222201012.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101022221200.

It is not an unprimeable number, because it can be changed into a prime (2101022221201) 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, 20722630 + ... + 20823770.

Almost surely, 2^{2101022221200} is an apocalyptic number.

2101022221200 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 2101022221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847464335808).

2101022221200 is an abundant number, since it is smaller than the sum of its proper divisors (5593906450416).

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

2101022221200 is a wasteful number, since it uses less digits than its factorization.

2101022221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103642 (or 103631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2101022221200 its reverse (21222201012), we get a palindrome (2122244422212).

The spelling of 2101022221200 in words is "two trillion, one hundred one billion, twenty-two million, two hundred twenty-one thousand, two hundred".