21202121120000 has 720 divisors, whose sum is σ = 55446191539200. Its totient is φ = 8083046400000.

The previous prime is 21202121119957. The next prime is 21202121120003. The reversal of 21202121120000 is 2112120212.

It is not an unprimeable number, because it can be changed into a prime (21202121120003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52873119800 + ... + 52873120200.

It is an arithmetic number, because the mean of its divisors is an integer number (77008599360).

Almost surely, 2^{21202121120000} is an apocalyptic number.

21202121120000 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 21202121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27723095769600).

21202121120000 is an abundant number, since it is smaller than the sum of its proper divisors (34244070419200).

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

21202121120000 is an frugal number, since it uses more digits than its factorization.

21202121120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 623 counting only the distinct ones).

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

Adding to 21202121120000 its reverse (2112120212), we get a palindrome (21204233240212).

The spelling of 21202121120000 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty thousand".