21202201020000 has 5760 divisors, whose sum is σ = 103129236080640. Its totient is φ = 3739115520000.

The previous prime is 21202201019959. The next prime is 21202201020079. The reversal of 21202201020000 is 2010220212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 451110659977 + ... + 451110660023.

It is an arithmetic number, because the mean of its divisors is an integer number (17904381264).

Almost surely, 2^{21202201020000} is an apocalyptic number.

21202201020000 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 21202201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51564618040320).

21202201020000 is an abundant number, since it is smaller than the sum of its proper divisors (81927035060640).

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

21202201020000 is a wasteful number, since it uses less digits than its factorization.

21202201020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21202201020000 its reverse (2010220212), we get a palindrome (21204211240212).

The spelling of 21202201020000 in words is "twenty-one trillion, two hundred two billion, two hundred one million, twenty thousand".