10042012101 has 16 divisors (see below), whose sum is σ = 14621349888. Its totient is φ = 6079906800.

The previous prime is 10042012087. The next prime is 10042012109. The reversal of 10042012101 is 10121024001.

It is a happy number.

10042012101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042012101 - 2¹¹ = 10042010053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042012109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 120831 + ... + 186236.

It is an arithmetic number, because the mean of its divisors is an integer number (913834368).

Almost surely, 2^10042012101 is an apocalyptic number.

10042012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10042012101 is a deficient number, since it is larger than the sum of its proper divisors (4579337787).

10042012101 is a wasteful number, since it uses less digits than its factorization.

10042012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308072.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10042012101 its reverse (10121024001), we get a palindrome (20163036102).

The spelling of 10042012101 in words is "ten billion, forty-two million, twelve thousand, one hundred one".