22121121010100 has 288 divisors, whose sum is σ = 56495382564096. Its totient is φ = 7361542656000.

The previous prime is 22121121010073. The next prime is 22121121010139. The reversal of 22121121010100 is 101012112122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8966809067 + ... + 8966811533.

It is an arithmetic number, because the mean of its divisors is an integer number (196164522792).

Almost surely, 2^{22121121010100} is an apocalyptic number.

22121121010100 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 22121121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28247691282048).

22121121010100 is an abundant number, since it is smaller than the sum of its proper divisors (34374261553996).

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

22121121010100 is a wasteful number, since it uses less digits than its factorization.

22121121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22121121010100 its reverse (101012112122), we get a palindrome (22222133122222).

The spelling of 22121121010100 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty-one million, ten thousand, one hundred".