21012101220000 has 480 divisors, whose sum is σ = 76608504181440. Its totient is φ = 4997724160000.

The previous prime is 21012101219987. The next prime is 21012101220059. The reversal of 21012101220000 is 2210121012.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34679656 + ... + 35280344.

It is an arithmetic number, because the mean of its divisors is an integer number (159601050378).

Almost surely, 2^{21012101220000} is an apocalyptic number.

21012101220000 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 21012101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304252090720).

21012101220000 is an abundant number, since it is smaller than the sum of its proper divisors (55596402961440).

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

21012101220000 is a wasteful number, since it uses less digits than its factorization.

21012101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600786 (or 600763 counting only the distinct ones).

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

Adding to 21012101220000 its reverse (2210121012), we get a palindrome (21014311341012).

It can be divided in two parts, 210121012 and 20000, that added together give a palindrome (210141012).

The spelling of 21012101220000 in words is "twenty-one trillion, twelve billion, one hundred one million, two hundred twenty thousand".