2121101221200 has 360 divisors, whose sum is σ = 7446163227552. Its totient is φ = 515822561280.

The previous prime is 2121101221157. The next prime is 2121101221229. The reversal of 2121101221200 is 21221011212.

It is a super-2 number, since 2×2121101221200² (a number of 25 digits) contains 22 as substring.

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 2121101221200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16769394 + ... + 16895406.

Almost surely, 2^{2121101221200} is an apocalyptic number.

2121101221200 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 2121101221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723081613776).

2121101221200 is an abundant number, since it is smaller than the sum of its proper divisors (5325062006352).

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

2121101221200 is a wasteful number, since it uses less digits than its factorization.

2121101221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126143 (or 126119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2121101221200 its reverse (21221011212), we get a palindrome (2142322232412).

The spelling of 2121101221200 in words is "two trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, two hundred".