21100001121200 has 240 divisors, whose sum is σ = 54011606860320. Its totient is φ = 7898859970560.

The previous prime is 21100001121131. The next prime is 21100001121203. The reversal of 21100001121200 is 212110000112.

It is not an unprimeable number, because it can be changed into a prime (21100001121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206372492 + ... + 206474708.

It is an arithmetic number, because the mean of its divisors is an integer number (225048361918).

Almost surely, 2^{21100001121200} is an apocalyptic number.

21100001121200 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 21100001121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005803430160).

21100001121200 is an abundant number, since it is smaller than the sum of its proper divisors (32911605739120).

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

21100001121200 is a wasteful number, since it uses less digits than its factorization.

21100001121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102584 (or 102573 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21100001121200 its reverse (212110000112), we get a palindrome (21312111121312).

The spelling of 21100001121200 in words is "twenty-one trillion, one hundred billion, one million, one hundred twenty-one thousand, two hundred".