100120240224 has 36 divisors (see below), whose sum is σ = 284716933956. Its totient is φ = 33373413312.

The previous prime is 100120240211. The next prime is 100120240247. The reversal of 100120240224 is 422042021001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100120240224² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100120240197 and 100120240206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173819574 + ... + 173820149.

It is an arithmetic number, because the mean of its divisors is an integer number (7908803721).

Almost surely, 2^100120240224 is an apocalyptic number.

It is an amenable number.

100120240224 is an abundant number, since it is smaller than the sum of its proper divisors (184596693732).

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

100120240224 is a wasteful number, since it uses less digits than its factorization.

100120240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347639739 (or 347639728 counting only the distinct ones).

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

Adding to 100120240224 its reverse (422042021001), we get a palindrome (522162261225).

The spelling of 100120240224 in words is "one hundred billion, one hundred twenty million, two hundred forty thousand, two hundred twenty-four".