4042134021101 has 16 divisors (see below), whose sum is σ = 4547468520000. Its totient is φ = 3560980521600.

The previous prime is 4042134021077. The next prime is 4042134021103. The reversal of 4042134021101 is 1011204312404.

4042134021101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4042134021101 - 2²⁶ = 4042066912237 is a prime.

It is a super-3 number, since 3×4042134021101³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042134021103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30008651 + ... + 30143048.

It is an arithmetic number, because the mean of its divisors is an integer number (284216782500).

Almost surely, 2^{4042134021101} is an apocalyptic number.

4042134021101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4042134021101 is a deficient number, since it is larger than the sum of its proper divisors (505334498899).

4042134021101 is a wasteful number, since it uses less digits than its factorization.

4042134021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60151900.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 4042134021101 its reverse (1011204312404), we get a palindrome (5053338333505).

The spelling of 4042134021101 in words is "four trillion, forty-two billion, one hundred thirty-four million, twenty-one thousand, one hundred one".