100225303212042 has 96 divisors (see below), whose sum is σ = 220955803136640. Its totient is φ = 32826911040000.

The previous prime is 100225303212029. The next prime is 100225303212059. The reversal of 100225303212042 is 240212303522001.

100225303212042 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 530 + 3 + 2 + 120 + 4 + 2 = 666.

It is a super-2 number, since 2×100225303212042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100225303211997 and 100225303212015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255900542 + ... + 1255980342.

It is an arithmetic number, because the mean of its divisors is an integer number (2301622949340).

Almost surely, 2^{100225303212042} is an apocalyptic number.

100225303212042 is an abundant number, since it is smaller than the sum of its proper divisors (120730499924598).

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

100225303212042 is a wasteful number, since it uses less digits than its factorization.

100225303212042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83180 (or 83177 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 100225303212042 its reverse (240212303522001), we get a palindrome (340437606734043).

The spelling of 100225303212042 in words is "one hundred trillion, two hundred twenty-five billion, three hundred three million, two hundred twelve thousand, forty-two".