100412004042 has 288 divisors, whose sum is σ = 276469614720. Its totient is φ = 25719482880.

The previous prime is 100412004019. The next prime is 100412004067. The reversal of 100412004042 is 240400214001.

It is a super-3 number, since 3×100412004042³ (a number of 34 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106707292 + ... + 106708232.

It is an arithmetic number, because the mean of its divisors is an integer number (959963940).

Almost surely, 2^100412004042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100412004042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138234807360).

100412004042 is an abundant number, since it is smaller than the sum of its proper divisors (176057610678).

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

100412004042 is a wasteful number, since it uses less digits than its factorization.

100412004042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100412004042 its reverse (240400214001), we get a palindrome (340812218043).

The spelling of 100412004042 in words is "one hundred billion, four hundred twelve million, four thousand, forty-two".