21011100101000 has 96 divisors (see below), whose sum is σ = 50234321194200. Its totient is φ = 8225621302400.

The previous prime is 21011100100997. The next prime is 21011100101053. The reversal of 21011100101000 is 10100111012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2677340242564 + 18333759858436 = 1636258^2 + 4281794^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 2546795 + ... + 6964794.

Almost surely, 2^{21011100101000} is an apocalyptic number.

21011100101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011100101000 is an abundant number, since it is smaller than the sum of its proper divisors (29223221093200).

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

21011100101000 is an equidigital number, since it uses as much as digits as its factorization.

21011100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511704 (or 9511643 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21011100101000 its reverse (10100111012), we get a palindrome (21021200212012).

The spelling of 21011100101000 in words is "twenty-one trillion, eleven billion, one hundred million, one hundred one thousand".