22123034100 has 108 divisors (see below), whose sum is σ = 69649542144. Its totient is φ = 5873432640.

The previous prime is 22123034093. The next prime is 22123034107. The reversal of 22123034100 is 143032122.

22123034100 is a `hidden beast` number, since 2 + 21 + 230 + 3 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22123034093) and next prime (22123034107).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123034107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150157 + ... + 258443.

It is an arithmetic number, because the mean of its divisors is an integer number (644903168).

Almost surely, 2^22123034100 is an apocalyptic number.

22123034100 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 22123034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34824771072).

22123034100 is an abundant number, since it is smaller than the sum of its proper divisors (47526508044).

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

22123034100 is a wasteful number, since it uses less digits than its factorization.

22123034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108534 (or 108524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123034100 its reverse (143032122), we get a palindrome (22266066222).

The spelling of 22123034100 in words is "twenty-two billion, one hundred twenty-three million, thirty-four thousand, one hundred".