100310442321042 has 80 divisors (see below), whose sum is σ = 229125579047640. Its totient is φ = 32789464651008.

The previous prime is 100310442321029. The next prime is 100310442321083. The reversal of 100310442321042 is 240123244013001.

100310442321042 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 0 + 442 + 3 + 210 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97497278113041 + 2813164208001 = 9874071^2 + 1677249^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100310442320997 and 100310442321015.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14180884 + ... + 20042912.

Almost surely, 2^{100310442321042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100310442321042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114562789523820).

100310442321042 is an abundant number, since it is smaller than the sum of its proper divisors (128815136726598).

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

100310442321042 is a wasteful number, since it uses less digits than its factorization.

100310442321042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5864089 (or 5864080 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100310442321042 its reverse (240123244013001), we get a palindrome (340433686334043).

The spelling of 100310442321042 in words is "one hundred trillion, three hundred ten billion, four hundred forty-two million, three hundred twenty-one thousand, forty-two".