21941010000 has 1600 divisors, whose sum is σ = 104126668800. Its totient is φ = 4292352000.

The previous prime is 21941009989. The next prime is 21941010031. The reversal of 21941010000 is 1014912.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 466829977 + ... + 466830023.

It is an arithmetic number, because the mean of its divisors is an integer number (65079168).

Almost surely, 2^21941010000 is an apocalyptic number.

21941010000 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 21941010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52063334400).

21941010000 is an abundant number, since it is smaller than the sum of its proper divisors (82185658800).

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

21941010000 is a wasteful number, since it uses less digits than its factorization.

21941010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21941010000 its reverse (1014912), we get a palindrome (21942024912).

The spelling of 21941010000 in words is "twenty-one billion, nine hundred forty-one million, ten thousand".