22042120100 has 288 divisors, whose sum is σ = 68004147456. Its totient is φ = 5968281600.

The previous prime is 22042120099. The next prime is 22042120109. The reversal of 22042120100 is 102124022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (22042120109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1695224 + ... + 1708176.

It is an arithmetic number, because the mean of its divisors is an integer number (236125512).

Almost surely, 2^22042120100 is an apocalyptic number.

22042120100 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 22042120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34002073728).

22042120100 is an abundant number, since it is smaller than the sum of its proper divisors (45962027356).

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

22042120100 is a wasteful number, since it uses less digits than its factorization.

22042120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13015 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22042120100 its reverse (102124022), we get a palindrome (22144244122).

The spelling of 22042120100 in words is "twenty-two billion, forty-two million, one hundred twenty thousand, one hundred".