21201012012000 has 192 divisors, whose sum is σ = 69471946410048. Its totient is φ = 5652184320000.

The previous prime is 21201012011989. The next prime is 21201012012017. The reversal of 21201012012000 is 21021010212.

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 31 ways as a sum of consecutive naturals, for example, 48032310 + ... + 48471690.

It is an arithmetic number, because the mean of its divisors is an integer number (361833054219).

Almost surely, 2^{21201012012000} is an apocalyptic number.

21201012012000 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 21201012012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34735973205024).

21201012012000 is an abundant number, since it is smaller than the sum of its proper divisors (48270934398048).

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

21201012012000 is a wasteful number, since it uses less digits than its factorization.

21201012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443430 (or 443412 counting only the distinct ones).

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

Adding to 21201012012000 its reverse (21021010212), we get a palindrome (21222033022212).

The spelling of 21201012012000 in words is "twenty-one trillion, two hundred one billion, twelve million, twelve thousand".