100002410440224 has 96 divisors (see below), whose sum is σ = 265466553024960. Its totient is φ = 32958265393152.

The previous prime is 100002410440201. The next prime is 100002410440279. The reversal of 100002410440224 is 422044014200001.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 100002410440194 and 100002410440203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223860352 + ... + 224306624.

It is an arithmetic number, because the mean of its divisors is an integer number (2765276594010).

Almost surely, 2^{100002410440224} is an apocalyptic number.

It is an amenable number.

100002410440224 is an abundant number, since it is smaller than the sum of its proper divisors (165464142584736).

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

100002410440224 is a wasteful number, since it uses less digits than its factorization.

100002410440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472602 (or 472594 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100002410440224 its reverse (422044014200001), we get a palindrome (522046424640225).

The spelling of 100002410440224 in words is "one hundred trillion, two billion, four hundred ten million, four hundred forty thousand, two hundred twenty-four".