21001012210200 has 768 divisors, whose sum is σ = 77549643648000. Its totient is φ = 4648718131200.

The previous prime is 21001012210183. The next prime is 21001012210247. The reversal of 21001012210200 is 201221010012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297644526 + ... + 297715074.

It is an arithmetic number, because the mean of its divisors is an integer number (100976098500).

Almost surely, 2^{21001012210200} is an apocalyptic number.

21001012210200 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 21001012210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38774821824000).

21001012210200 is an abundant number, since it is smaller than the sum of its proper divisors (56548631437800).

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

21001012210200 is a wasteful number, since it uses less digits than its factorization.

21001012210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70692 (or 70683 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21001012210200 its reverse (201221010012), we get a palindrome (21202233220212).

It can be divided in two parts, 21001012 and 210200, that added together give a palindrome (21211212).

The spelling of 21001012210200 in words is "twenty-one trillion, one billion, twelve million, two hundred ten thousand, two hundred".