100222012234400 has 576 divisors, whose sum is σ = 293389141893120. Its totient is φ = 32686650163200.

The previous prime is 100222012234361. The next prime is 100222012234403. The reversal of 100222012234400 is 4432210222001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (100222012234403) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 23800048295 + ... + 23800052505.

It is an arithmetic number, because the mean of its divisors is an integer number (509356149120).

Almost surely, 2^{100222012234400} is an apocalyptic number.

100222012234400 is a gapful number since it is divisible by the number (10) 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 100222012234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146694570946560).

100222012234400 is an abundant number, since it is smaller than the sum of its proper divisors (193167129658720).

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

100222012234400 is a wasteful number, since it uses less digits than its factorization.

100222012234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 100222012234400 its reverse (4432210222001), we get a palindrome (104654222456401).

The spelling of 100222012234400 in words is "one hundred trillion, two hundred twenty-two billion, twelve million, two hundred thirty-four thousand, four hundred".