21101212122200 has 192 divisors, whose sum is σ = 56996542821120. Its totient is φ = 7115045184000.

The previous prime is 21101212122121. The next prime is 21101212122229. The reversal of 21101212122200 is 222121210112.

It is a super-2 number, since 2×21101212122200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762010355 + ... + 762038045.

It is an arithmetic number, because the mean of its divisors is an integer number (296856993860).

Almost surely, 2^{21101212122200} is an apocalyptic number.

21101212122200 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 21101212122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498271410560).

21101212122200 is an abundant number, since it is smaller than the sum of its proper divisors (35895330698920).

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

21101212122200 is a wasteful number, since it uses less digits than its factorization.

21101212122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36698 (or 36689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21101212122200 its reverse (222121210112), we get a palindrome (21323333332312).

The spelling of 21101212122200 in words is "twenty-one trillion, one hundred one billion, two hundred twelve million, one hundred twenty-two thousand, two hundred".