21100012000 has 96 divisors (see below), whose sum is σ = 51902847360. Its totient is φ = 8430220800.

The previous prime is 21100011901. The next prime is 21100012001. The reversal of 21100012000 is 21000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100012001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4153462 + ... + 4158538.

It is an arithmetic number, because the mean of its divisors is an integer number (540654660).

Almost surely, 2^21100012000 is an apocalyptic number.

21100012000 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 21100012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951423680).

21100012000 is an abundant number, since it is smaller than the sum of its proper divisors (30802835360).

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

21100012000 is a wasteful number, since it uses less digits than its factorization.

21100012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21100012000 its reverse (21000112), we get a palindrome (21121012112).

The spelling of 21100012000 in words is "twenty-one billion, one hundred million, twelve thousand".