100222221240 has 256 divisors, whose sum is σ = 349511500800. Its totient is φ = 25497027072.

The previous prime is 100222221181. The next prime is 100222221241. The reversal of 100222221240 is 42122222001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222221241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9856399 + ... + 9866561.

It is an arithmetic number, because the mean of its divisors is an integer number (1365279300).

Almost surely, 2^100222221240 is an apocalyptic number.

100222221240 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 100222221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174755750400).

100222221240 is an abundant number, since it is smaller than the sum of its proper divisors (249289279560).

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

100222221240 is a wasteful number, since it uses less digits than its factorization.

100222221240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100222221240 its reverse (42122222001), we get a palindrome (142344443241).

The spelling of 100222221240 in words is "one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred forty".