21211001110000 has 200 divisors, whose sum is σ = 55372894814160. Its totient is φ = 7822034688000.

The previous prime is 21211001109971. The next prime is 21211001110007. The reversal of 21211001110000 is 1110011212.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211001110007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105069159 + ... + 105270841.

Almost surely, 2^{21211001110000} is an apocalyptic number.

21211001110000 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 21211001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27686447407080).

21211001110000 is an abundant number, since it is smaller than the sum of its proper divisors (34161893704160).

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

21211001110000 is a wasteful number, since it uses less digits than its factorization.

21211001110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202533 (or 202512 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21211001110000 its reverse (1110011212), we get a palindrome (21212111121212).

The spelling of 21211001110000 in words is "twenty-one trillion, two hundred eleven billion, one million, one hundred ten thousand".