21022012122100 has 144 divisors (see below), whose sum is σ = 49886687672640. Its totient is φ = 7625673907200.

The previous prime is 21022012122091. The next prime is 21022012122113. The reversal of 21022012122100 is 122121022012.

It is a happy number.

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, 759205056 + ... + 759232744.

It is an arithmetic number, because the mean of its divisors is an integer number (346435331060).

Almost surely, 2^{21022012122100} is an apocalyptic number.

21022012122100 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 21022012122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24943343836320).

21022012122100 is an abundant number, since it is smaller than the sum of its proper divisors (28864675550540).

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

21022012122100 is a wasteful number, since it uses less digits than its factorization.

21022012122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29378 (or 29371 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21022012122100 its reverse (122121022012), we get a palindrome (21144133144112).

It can be divided in two parts, 21022012 and 122100, that added together give a palindrome (21144112).

The spelling of 21022012122100 in words is "twenty-one trillion, twenty-two billion, twelve million, one hundred twenty-two thousand, one hundred".