22311312100 has 216 divisors, whose sum is σ = 62143835040. Its totient is φ = 6874560000.

The previous prime is 22311312083. The next prime is 22311312113. The reversal of 22311312100 is 121311322.

It is a super-3 number, since 3×22311312100³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4794775 + ... + 4799425.

It is an arithmetic number, because the mean of its divisors is an integer number (287702940).

Almost surely, 2^22311312100 is an apocalyptic number.

22311312100 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 22311312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31071917520).

22311312100 is an abundant number, since it is smaller than the sum of its proper divisors (39832522940).

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

22311312100 is a wasteful number, since it uses less digits than its factorization.

22311312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 22311312100 its reverse (121311322), we get a palindrome (22432623422).

The spelling of 22311312100 in words is "twenty-two billion, three hundred eleven million, three hundred twelve thousand, one hundred".