22401342100 has 144 divisors (see below), whose sum is σ = 50871744000. Its totient is φ = 8556088320.

The previous prime is 22401342071. The next prime is 22401342121. The reversal of 22401342100 is 124310422.

It is a super-3 number, since 3×22401342100³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37397601 + ... + 37398199.

It is an arithmetic number, because the mean of its divisors is an integer number (353276000).

Almost surely, 2^22401342100 is an apocalyptic number.

22401342100 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 22401342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25435872000).

22401342100 is an abundant number, since it is smaller than the sum of its proper divisors (28470401900).

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

22401342100 is a wasteful number, since it uses less digits than its factorization.

22401342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22401342100 its reverse (124310422), we get a palindrome (22525652522).

The spelling of 22401342100 in words is "twenty-two billion, four hundred one million, three hundred forty-two thousand, one hundred".