100241722217728 has 216 divisors, whose sum is σ = 248073135713088. Its totient is φ = 39583503138816.

The previous prime is 100241722217701. The next prime is 100241722217759. The reversal of 100241722217728 is 827712227142001.

It is a super-2 number, since 2×100241722217728² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165355300 + ... + 165960412.

Almost surely, 2^{100241722217728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100241722217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124036567856544).

100241722217728 is an abundant number, since it is smaller than the sum of its proper divisors (147831413495360).

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

100241722217728 is an equidigital number, since it uses as much as digits as its factorization.

100241722217728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605709 (or 605682 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 46.

Adding to 100241722217728 its reverse (827712227142001), we get a palindrome (927953949359729).

The spelling of 100241722217728 in words is "one hundred trillion, two hundred forty-one billion, seven hundred twenty-two million, two hundred seventeen thousand, seven hundred twenty-eight".