21211001010000 has 300 divisors, whose sum is σ = 76925274057632. Its totient is φ = 5656266288000.

The previous prime is 21211001009987. The next prime is 21211001010041. The reversal of 21211001010000 is 1010011212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1934404 + ... + 6794403.

Almost surely, 2^{21211001010000} is an apocalyptic number.

21211001010000 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 21211001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38462637028816).

21211001010000 is an abundant number, since it is smaller than the sum of its proper divisors (55714273047632).

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

21211001010000 is an frugal number, since it uses more digits than its factorization.

21211001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8728850 (or 8728817 counting only the distinct ones).

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

Adding to 21211001010000 its reverse (1010011212), we get a palindrome (21212011021212).

The spelling of 21211001010000 in words is "twenty-one trillion, two hundred eleven billion, one million, ten thousand".