2101220121200 has 240 divisors, whose sum is σ = 5383766416896. Its totient is φ = 785349734400.

The previous prime is 2101220121173. The next prime is 2101220121239. The reversal of 2101220121200 is 21210221012.

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, 664310819 + ... + 664313981.

Almost surely, 2^{2101220121200} is an apocalyptic number.

2101220121200 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 2101220121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691883208448).

2101220121200 is an abundant number, since it is smaller than the sum of its proper divisors (3282546295696).

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

2101220121200 is a wasteful number, since it uses less digits than its factorization.

2101220121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3861 counting only the distinct ones).

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

Adding to 2101220121200 its reverse (21210221012), we get a palindrome (2122430342212).

The spelling of 2101220121200 in words is "two trillion, one hundred one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".