100442132330310 has 96 divisors (see below), whose sum is σ = 266080588675200. Its totient is φ = 26278834493184.

The previous prime is 100442132330303. The next prime is 100442132330329. The reversal of 100442132330310 is 13033231244001.

It is a happy number.

100442132330310 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 2 + 13 + 2 + 330 + 310 = 666.

It is a super-2 number, since 2×100442132330310² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 612381232 + ... + 612545228.

It is an arithmetic number, because the mean of its divisors is an integer number (2771672798700).

Almost surely, 2^{100442132330310} is an apocalyptic number.

100442132330310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100442132330310 is an abundant number, since it is smaller than the sum of its proper divisors (165638456344890).

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

100442132330310 is a wasteful number, since it uses less digits than its factorization.

100442132330310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292462 (or 292459 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 100442132330310 its reverse (13033231244001), we get a palindrome (113475363574311).

The spelling of 100442132330310 in words is "one hundred trillion, four hundred forty-two billion, one hundred thirty-two million, three hundred thirty thousand, three hundred ten".