21001102020000 has 360 divisors, whose sum is σ = 74688548014080. Its totient is φ = 5595785280000.

The previous prime is 21001102019977. The next prime is 21001102020043. The reversal of 21001102020000 is 2020110012.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226573665 + ... + 226666335.

It is an arithmetic number, because the mean of its divisors is an integer number (207468188928).

Almost surely, 2^{21001102020000} is an apocalyptic number.

21001102020000 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 21001102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37344274007040).

21001102020000 is an abundant number, since it is smaller than the sum of its proper divisors (53687445994080).

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

21001102020000 is a wasteful number, since it uses less digits than its factorization.

21001102020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93966 (or 93940 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21001102020000 its reverse (2020110012), we get a palindrome (21003122130012).

The spelling of 21001102020000 in words is "twenty-one trillion, one billion, one hundred two million, twenty thousand".