21001310000 has 100 divisors (see below), whose sum is σ = 55468950504. Its totient is φ = 7636800000.

The previous prime is 21001309999. The next prime is 21001310017. The reversal of 21001310000 is 1310012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×21001310000² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21001310000.

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 19 ways as a sum of consecutive naturals, for example, 14540 + ... + 205460.

Almost surely, 2^21001310000 is an apocalyptic number.

21001310000 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 21001310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734475252).

21001310000 is an abundant number, since it is smaller than the sum of its proper divisors (34467640504).

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

21001310000 is a wasteful number, since it uses less digits than its factorization.

21001310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190960 (or 190939 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 21001310000 its reverse (1310012), we get a palindrome (21002620012).

The spelling of 21001310000 in words is "twenty-one billion, one million, three hundred ten thousand".