21001031202000 has 640 divisors, whose sum is σ = 69468482304000. Its totient is φ = 5456855040000.

The previous prime is 21001031201957. The next prime is 21001031202031. The reversal of 21001031202000 is 20213010012.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21495425512 + ... + 21495426488.

It is an arithmetic number, because the mean of its divisors is an integer number (108544503600).

Almost surely, 2^{21001031202000} is an apocalyptic number.

21001031202000 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 21001031202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34734241152000).

21001031202000 is an abundant number, since it is smaller than the sum of its proper divisors (48467451102000).

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

21001031202000 is a wasteful number, since it uses less digits than its factorization.

21001031202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21001031202000 its reverse (20213010012), we get a palindrome (21021244212012).

The spelling of 21001031202000 in words is "twenty-one trillion, one billion, thirty-one million, two hundred two thousand".