21202010112000 has 320 divisors, whose sum is σ = 70560876672000. Its totient is φ = 5653816934400.

The previous prime is 21202010111999. The next prime is 21202010112001. The reversal of 21202010112000 is 21101020212.

It is an interprime number because it is at equal distance from previous prime (21202010111999) and next prime (21202010112001).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (21202010112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196554081 + ... + 196661919.

It is an arithmetic number, because the mean of its divisors is an integer number (220502739600).

Almost surely, 2^{21202010112000} is an apocalyptic number.

21202010112000 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 21202010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280438336000).

21202010112000 is an abundant number, since it is smaller than the sum of its proper divisors (49358866560000).

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

21202010112000 is an frugal number, since it uses more digits than its factorization.

21202010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107895 (or 107849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21202010112000 its reverse (21101020212), we get a palindrome (21223111132212).

The spelling of 21202010112000 in words is "twenty-one trillion, two hundred two billion, ten million, one hundred twelve thousand".