100105001000042 has 16 divisors (see below), whose sum is σ = 150397095157632. Its totient is φ = 49972641492480.

The previous prime is 100105001000029. The next prime is 100105001000077. The reversal of 100105001000042 is 240000100501001.

It is a super-2 number, since 2×100105001000042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105000999990 and 100105001000026.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35117873 + ... + 37861259.

It is an arithmetic number, because the mean of its divisors is an integer number (9399818447352).

Almost surely, 2^{100105001000042} is an apocalyptic number.

100105001000042 is a deficient number, since it is larger than the sum of its proper divisors (50292094157590).

100105001000042 is a wasteful number, since it uses less digits than its factorization.

100105001000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772493.

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 100105001000042 its reverse (240000100501001), we get a palindrome (340105101501043).

The spelling of 100105001000042 in words is "one hundred trillion, one hundred five billion, one million, forty-two", and thus it is an aban number.