2121021011200 has 432 divisors, whose sum is σ = 6801471483520. Its totient is φ = 635934965760.

The previous prime is 2121021011177. The next prime is 2121021011243. The reversal of 2121021011200 is 21101201212.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 10969762 + ... + 11161438.

Almost surely, 2^{2121021011200} is an apocalyptic number.

2121021011200 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 2121021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400735741760).

2121021011200 is an abundant number, since it is smaller than the sum of its proper divisors (4680450472320).

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

2121021011200 is a wasteful number, since it uses less digits than its factorization.

2121021011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191742 (or 191723 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121021011200 its reverse (21101201212), we get a palindrome (2142122212412).

The spelling of 2121021011200 in words is "two trillion, one hundred twenty-one billion, twenty-one million, eleven thousand, two hundred".