100211322440 has 64 divisors (see below), whose sum is σ = 232270148160. Its totient is φ = 38883144960.

The previous prime is 100211322383. The next prime is 100211322443. The reversal of 100211322440 is 44223112001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100211322443) 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 15 ways as a sum of consecutive naturals, for example, 387599 + ... + 592161.

It is an arithmetic number, because the mean of its divisors is an integer number (3629221065).

Almost surely, 2^100211322440 is an apocalyptic number.

100211322440 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 100211322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116135074080).

100211322440 is an abundant number, since it is smaller than the sum of its proper divisors (132058825720).

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

100211322440 is a wasteful number, since it uses less digits than its factorization.

100211322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204942 (or 204938 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100211322440 its reverse (44223112001), we get a palindrome (144434434441).

The spelling of 100211322440 in words is "one hundred billion, two hundred eleven million, three hundred twenty-two thousand, four hundred forty".