21201022102000 has 160 divisors (see below), whose sum is σ = 55216084944384. Its totient is φ = 7826846976000.

The previous prime is 21201022101989. The next prime is 21201022102027. The reversal of 21201022102000 is 20122010212.

It is a happy number.

21201022102000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 175725697 + ... + 175846303.

Almost surely, 2^{21201022102000} is an apocalyptic number.

21201022102000 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 21201022102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27608042472192).

21201022102000 is an abundant number, since it is smaller than the sum of its proper divisors (34015062842384).

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

21201022102000 is a wasteful number, since it uses less digits than its factorization.

21201022102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127404 (or 127388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21201022102000 its reverse (20122010212), we get a palindrome (21221144112212).

The spelling of 21201022102000 in words is "twenty-one trillion, two hundred one billion, twenty-two million, one hundred two thousand".