21211200220122 has 96 divisors (see below), whose sum is σ = 50778389376000. Its totient is φ = 6345249225120.

The previous prime is 21211200220087. The next prime is 21211200220127. The reversal of 21211200220122 is 22102200211212.

It is a happy number.

21211200220122 is a `hidden beast` number, since 2 + 121 + 1 + 200 + 220 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21211200220095 and 21211200220104.

It is not an unprimeable number, because it can be changed into a prime (21211200220127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99674029 + ... + 99886607.

It is an arithmetic number, because the mean of its divisors is an integer number (528941556000).

Almost surely, 2^{21211200220122} is an apocalyptic number.

21211200220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211200220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25389194688000).

21211200220122 is an abundant number, since it is smaller than the sum of its proper divisors (29567189155878).

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

21211200220122 is a wasteful number, since it uses less digits than its factorization.

21211200220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219056 (or 219053 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21211200220122 its reverse (22102200211212), we get a palindrome (43313400431334).

The spelling of 21211200220122 in words is "twenty-one trillion, two hundred eleven billion, two hundred million, two hundred twenty thousand, one hundred twenty-two".