21201012000 has 288 divisors, whose sum is σ = 85992326784. Its totient is φ = 4845888000.

The previous prime is 21201011963. The next prime is 21201012017. The reversal of 21201012000 is 21010212.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209935 + ... + 294065.

It is an arithmetic number, because the mean of its divisors is an integer number (298584468).

Almost surely, 2^21201012000 is an apocalyptic number.

21201012000 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 21201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42996163392).

21201012000 is an abundant number, since it is smaller than the sum of its proper divisors (64791314784).

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

21201012000 is a wasteful number, since it uses less digits than its factorization.

21201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84169 (or 84148 counting only the distinct ones).

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

Adding to 21201012000 its reverse (21010212), we get a palindrome (21222022212).

The spelling of 21201012000 in words is "twenty-one billion, two hundred one million, twelve thousand".