21001011300 has 216 divisors, whose sum is σ = 67784725736. Its totient is φ = 5434490880.

The previous prime is 21001011293. The next prime is 21001011301. The reversal of 21001011300 is 311010012.

It can be written as a sum of positive squares in 12 ways, for example, as 2834284644 + 18166726656 = 53238^2 + 134784^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21001011301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19213554 + ... + 19214646.

Almost surely, 2^21001011300 is an apocalyptic number.

21001011300 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 21001011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33892362868).

21001011300 is an abundant number, since it is smaller than the sum of its proper divisors (46783714436).

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

21001011300 is a wasteful number, since it uses less digits than its factorization.

21001011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 21001011300 its reverse (311010012), we get a palindrome (21312021312).

The spelling of 21001011300 in words is "twenty-one billion, one million, eleven thousand, three hundred".