100203211240440 has 256 divisors, whose sum is σ = 391081082757120. Its totient is φ = 19916166167040.

The previous prime is 100203211240423. The next prime is 100203211240441. The reversal of 100203211240440 is 44042112302001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100203211240440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203211240441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235537554 + ... + 235962593.

It is an arithmetic number, because the mean of its divisors is an integer number (1527660479520).

Almost surely, 2^{100203211240440} is an apocalyptic number.

100203211240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100203211240440 is an abundant number, since it is smaller than the sum of its proper divisors (290877871516680).

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

100203211240440 is a wasteful number, since it uses less digits than its factorization.

100203211240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471500202 (or 471500198 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100203211240440 its reverse (44042112302001), we get a palindrome (144245323542441).

The spelling of 100203211240440 in words is "one hundred trillion, two hundred three billion, two hundred eleven million, two hundred forty thousand, four hundred forty".