22025044126100 has 144 divisors (see below), whose sum is σ = 48885087154176. Its totient is φ = 8611198848000.

The previous prime is 22025044126093. The next prime is 22025044126139. The reversal of 22025044126100 is 162144052022.

22025044126100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22025044126100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1335409454 + ... + 1335425946.

It is an arithmetic number, because the mean of its divisors is an integer number (339479771904).

Almost surely, 2^{22025044126100} is an apocalyptic number.

22025044126100 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 22025044126100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24442543577088).

22025044126100 is an abundant number, since it is smaller than the sum of its proper divisors (26860043028076).

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

22025044126100 is a wasteful number, since it uses less digits than its factorization.

22025044126100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18186 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 22025044126100 its reverse (162144052022), we get a palindrome (22187188178122).

The spelling of 22025044126100 in words is "twenty-two trillion, twenty-five billion, forty-four million, one hundred twenty-six thousand, one hundred".