21301032002000 has 80 divisors (see below), whose sum is σ = 51767347583952. Its totient is φ = 8477161817600.

The previous prime is 21301032001961. The next prime is 21301032002027. The reversal of 21301032002000 is 20023010312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1336363744144 + 19964668257856 = 1156012^2 + 4468184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26637767 + ... + 27425766.

Almost surely, 2^{21301032002000} is an apocalyptic number.

21301032002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21301032002000 is an abundant number, since it is smaller than the sum of its proper divisors (30466315581952).

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

21301032002000 is a wasteful number, since it uses less digits than its factorization.

21301032002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54063753 (or 54063737 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 21301032002000 its reverse (20023010312), we get a palindrome (21321055012312).

The spelling of 21301032002000 in words is "twenty-one trillion, three hundred one billion, thirty-two million, two thousand".