330100103001042 has 36 divisors (see below), whose sum is σ = 786147490485630. Its totient is φ = 100030334242080.

The previous prime is 330100103001029. The next prime is 330100103001107. The reversal of 330100103001042 is 240100301001033.

330100103001042 is a `hidden beast` number, since 3 + 301 + 0 + 0 + 10 + 300 + 10 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183961235159361 + 146138867841681 = 13563231^2 + 12088791^2 .

It is a super-2 number, since 2×330100103001042² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75780554067 + ... + 75780558422.

Almost surely, 2^{330100103001042} is an apocalyptic number.

330100103001042 is an abundant number, since it is smaller than the sum of its proper divisors (456047387484588).

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

330100103001042 is a wasteful number, since it uses less digits than its factorization.

330100103001042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151561112519 (or 151561112505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330100103001042 its reverse (240100301001033), we get a palindrome (570200404002075).

The spelling of 330100103001042 in words is "three hundred thirty trillion, one hundred billion, one hundred three million, one thousand, forty-two".