2042116101 has 12 divisors (see below), whose sum is σ = 2953790112. Its totient is φ = 1359533736.

The previous prime is 2042116091. The next prime is 2042116121. The reversal of 2042116101 is 1016112402.

2042116101 is a `hidden beast` number, since 2 + 0 + 42 + 11 + 610 + 1 = 666.

It is not a de Polignac number, because 2042116101 - 2⁹ = 2042115589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042116121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149511 + ... + 162596.

It is an arithmetic number, because the mean of its divisors is an integer number (246149176).

Almost surely, 2^2042116101 is an apocalyptic number.

It is an amenable number.

2042116101 is a deficient number, since it is larger than the sum of its proper divisors (911674011).

2042116101 is a wasteful number, since it uses less digits than its factorization.

2042116101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312840 (or 312837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2042116101 is about 45189.7787226271. The cubic root of 2042116101 is about 1268.7035152115.

Adding to 2042116101 its reverse (1016112402), we get a palindrome (3058228503).

The spelling of 2042116101 in words is "two billion, forty-two million, one hundred sixteen thousand, one hundred one".