21212001010200 has 2304 divisors, whose sum is σ = 97165955980800. Its totient is φ = 3749798707200.

The previous prime is 21212001010171. The next prime is 21212001010223. The reversal of 21212001010200 is 201010021212.

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 575 ways as a sum of consecutive naturals, for example, 2955549012 + ... + 2955556188.

It is an arithmetic number, because the mean of its divisors is an integer number (42172723950).

Almost surely, 2^{21212001010200} is an apocalyptic number.

21212001010200 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 21212001010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48582977990400).

21212001010200 is an abundant number, since it is smaller than the sum of its proper divisors (75953954970600).

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

21212001010200 is a wasteful number, since it uses less digits than its factorization.

21212001010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7274 counting only the distinct ones).

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

Adding to 21212001010200 its reverse (201010021212), we get a palindrome (21413011031412).

The spelling of 21212001010200 in words is "twenty-one trillion, two hundred twelve billion, one million, ten thousand, two hundred".