10042342101 has 48 divisors (see below), whose sum is σ = 16217510400. Its totient is φ = 5936816160.

The previous prime is 10042342073. The next prime is 10042342157. The reversal of 10042342101 is 10124324001.

10042342101 is a `hidden beast` number, since 100 + 423 + 42 + 101 = 666.

It is not a de Polignac number, because 10042342101 - 2⁷ = 10042341973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042342301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675850 + ... + 690548.

It is an arithmetic number, because the mean of its divisors is an integer number (337864800).

Almost surely, 2^10042342101 is an apocalyptic number.

10042342101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042342101 is a deficient number, since it is larger than the sum of its proper divisors (6175168299).

10042342101 is a wasteful number, since it uses less digits than its factorization.

10042342101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14886 (or 14883 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10042342101 its reverse (10124324001), we get a palindrome (20166666102).

The spelling of 10042342101 in words is "ten billion, forty-two million, three hundred forty-two thousand, one hundred one".