21201110010000 has 600 divisors, whose sum is σ = 76032642766080. Its totient is φ = 5510139264000.

The previous prime is 21201110009999. The next prime is 21201110010007. The reversal of 21201110010000 is 1001110212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×21201110010000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21201110010007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1853724282 + ... + 1853735718.

Almost surely, 2^{21201110010000} is an apocalyptic number.

21201110010000 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 21201110010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016321383040).

21201110010000 is an abundant number, since it is smaller than the sum of its proper divisors (54831532756080).

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

21201110010000 is a wasteful number, since it uses less digits than its factorization.

21201110010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11993 (or 11969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21201110010000 its reverse (1001110212), we get a palindrome (21202111120212).

The spelling of 21201110010000 in words is "twenty-one trillion, two hundred one billion, one hundred ten million, ten thousand".