21001100000010 has 768 divisors, whose sum is σ = 60877412241408. Its totient is φ = 4602396672000.

The previous prime is 21001099999987. The next prime is 21001100000047. The reversal of 21001100000010 is 1000000110012.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34943593710 + ... + 34943594310.

It is an arithmetic number, because the mean of its divisors is an integer number (79267463856).

Almost surely, 2^{21001100000010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001100000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30438706120704).

21001100000010 is an abundant number, since it is smaller than the sum of its proper divisors (39876312241398).

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

21001100000010 is a wasteful number, since it uses less digits than its factorization.

21001100000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 21001100000010 its reverse (1000000110012), we get a palindrome (22001100110022).

The spelling of 21001100000010 in words is "twenty-one trillion, one billion, one hundred million, ten", and thus it is an aban number.