23042200440100 has 144 divisors (see below), whose sum is σ = 53086478372928. Its totient is φ = 8651197992960.

The previous prime is 23042200440073. The next prime is 23042200440113. The reversal of 23042200440100 is 104400224032.

It is a happy number.

It is a super-2 number, since 2×23042200440100² (a number of 28 digits) contains 22 as substring.

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, 1582235419 + ... + 1582249981.

It is an arithmetic number, because the mean of its divisors is an integer number (368656099812).

Almost surely, 2^{23042200440100} is an apocalyptic number.

23042200440100 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 23042200440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26543239186464).

23042200440100 is an abundant number, since it is smaller than the sum of its proper divisors (30044277932828).

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

23042200440100 is a wasteful number, since it uses less digits than its factorization.

23042200440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17047 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23042200440100 its reverse (104400224032), we get a palindrome (23146600664132).

The spelling of 23042200440100 in words is "twenty-three trillion, forty-two billion, two hundred million, four hundred forty thousand, one hundred".