21000003003100 has 144 divisors (see below), whose sum is σ = 52775914625280. Its totient is φ = 7168200883200.

The previous prime is 21000003002987. The next prime is 21000003003131. The reversal of 21000003003100 is 130030000012.

It is a super-4 number, since 4×21000003003100⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5605777 + ... + 8568823.

It is an arithmetic number, because the mean of its divisors is an integer number (366499407120).

Almost surely, 2^{21000003003100} is an apocalyptic number.

21000003003100 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 21000003003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387957312640).

21000003003100 is an abundant number, since it is smaller than the sum of its proper divisors (31775911622180).

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

21000003003100 is a wasteful number, since it uses less digits than its factorization.

21000003003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963468 (or 2963461 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 21000003003100 its reverse (130030000012), we get a palindrome (21130033003112).

The spelling of 21000003003100 in words is "twenty-one trillion, three million, three thousand, one hundred".