21010003456200 has 864 divisors, whose sum is σ = 74900117335680. Its totient is φ = 4867582720000.

The previous prime is 21010003456133. The next prime is 21010003456219. The reversal of 21010003456200 is 265430001012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6166714897 + ... + 6166718303.

It is an arithmetic number, because the mean of its divisors is an integer number (86689950620).

Almost surely, 2^{21010003456200} is an apocalyptic number.

21010003456200 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 21010003456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37450058667840).

21010003456200 is an abundant number, since it is smaller than the sum of its proper divisors (53890113879480).

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

21010003456200 is a wasteful number, since it uses less digits than its factorization.

21010003456200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3607 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 21010003456200 its reverse (265430001012), we get a palindrome (21275433457212).

The spelling of 21010003456200 in words is "twenty-one trillion, ten billion, three million, four hundred fifty-six thousand, two hundred".