22101313334100 has 2592 divisors, whose sum is σ = 95116509653760. Its totient is φ = 3912343142400.

The previous prime is 22101313334059. The next prime is 22101313334101. The reversal of 22101313334100 is 143331310122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101313334101) by changing a digit.

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 863 ways as a sum of consecutive naturals, for example, 15423106984 + ... + 15423108416.

It is an arithmetic number, because the mean of its divisors is an integer number (36696184280).

Almost surely, 2^{22101313334100} is an apocalyptic number.

22101313334100 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 22101313334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47558254826880).

22101313334100 is an abundant number, since it is smaller than the sum of its proper divisors (73015196319660).

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

22101313334100 is a wasteful number, since it uses less digits than its factorization.

22101313334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22101313334100 its reverse (143331310122), we get a palindrome (22244644644222).

The spelling of 22101313334100 in words is "twenty-two trillion, one hundred one billion, three hundred thirteen million, three hundred thirty-four thousand, one hundred".