21212000010100 has 72 divisors (see below), whose sum is σ = 46881250970400. Its totient is φ = 8328331267200.

The previous prime is 21212000010079. The next prime is 21212000010139. The reversal of 21212000010100 is 101000021212.

It is a super-5 number, since 5×21212000010100⁵ (a number of 68 digits) contains 55555 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1160290 + ... + 6615910.

It is an arithmetic number, because the mean of its divisors is an integer number (651128485700).

Almost surely, 2^{21212000010100} is an apocalyptic number.

21212000010100 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 21212000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23440625485200).

21212000010100 is an abundant number, since it is smaller than the sum of its proper divisors (25669250960300).

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

21212000010100 is a wasteful number, since it uses less digits than its factorization.

21212000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5456353 (or 5456346 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21212000010100 its reverse (101000021212), we get a palindrome (21313000031312).

The spelling of 21212000010100 in words is "twenty-one trillion, two hundred twelve billion, ten thousand, one hundred".