21003000100000 has 144 divisors (see below), whose sum is σ = 51782713256736. Its totient is φ = 8385115680000.

The previous prime is 21003000099997. The next prime is 21003000100031. The reversal of 21003000100000 is 100030012.

It is a super-2 number, since 2×21003000100000² (a number of 27 digits) contains 22 as substring.

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, 52099207 + ... + 52500793.

It is an arithmetic number, because the mean of its divisors is an integer number (359602175394).

Almost surely, 2^{21003000100000} is an apocalyptic number.

21003000100000 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 21003000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25891356628368).

21003000100000 is an abundant number, since it is smaller than the sum of its proper divisors (30779713156736).

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

21003000100000 is an frugal number, since it uses more digits than its factorization.

21003000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402145 (or 402117 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 21003000100000 its reverse (100030012), we get a palindrome (21003100130012).

The spelling of 21003000100000 in words is "twenty-one trillion, three billion, one hundred thousand".