21001001011000 has 128 divisors (see below), whose sum is σ = 49463699837760. Its totient is φ = 8345509056000.

The previous prime is 21001001010967. The next prime is 21001001011043. The reversal of 21001001011000 is 11010010012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427198422 + ... + 427247578.

Almost surely, 2^{21001001011000} is an apocalyptic number.

21001001011000 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 21001001011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24731849918880).

21001001011000 is an abundant number, since it is smaller than the sum of its proper divisors (28462698826760).

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

21001001011000 is a wasteful number, since it uses less digits than its factorization.

21001001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51962 (or 51948 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 21001001011000 its reverse (11010010012), we get a palindrome (21012011021012).

The spelling of 21001001011000 in words is "twenty-one trillion, one billion, one million, eleven thousand".