22121232100 has 216 divisors, whose sum is σ = 55673561664. Its totient is φ = 7608480000.

The previous prime is 22121232071. The next prime is 22121232101. The reversal of 22121232100 is 123212122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22121232101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28107907 + ... + 28108693.

Almost surely, 2^22121232100 is an apocalyptic number.

22121232100 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 22121232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27836780832).

22121232100 is an abundant number, since it is smaller than the sum of its proper divisors (33552329564).

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

22121232100 is a wasteful number, since it uses less digits than its factorization.

22121232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22121232100 its reverse (123212122), we get a palindrome (22244444222).

The spelling of 22121232100 in words is "twenty-two billion, one hundred twenty-one million, two hundred thirty-two thousand, one hundred".