2142304101 has 48 divisors (see below), whose sum is σ = 3613708800. Its totient is φ = 1197651744.

The previous prime is 2142304027. The next prime is 2142304123. The reversal of 2142304101 is 1014032412.

2142304101 is a `hidden beast` number, since 21 + 4 + 230 + 410 + 1 = 666.

It is not a de Polignac number, because 2142304101 - 2¹¹ = 2142302053 is a prime.

It is a super-2 number, since 2×2142304101² = 9178933722322836402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142302101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842490 + ... + 845028.

It is an arithmetic number, because the mean of its divisors is an integer number (75285600).

Almost surely, 2^2142304101 is an apocalyptic number.

2142304101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2142304101 is a deficient number, since it is larger than the sum of its proper divisors (1471404699).

2142304101 is a wasteful number, since it uses less digits than its factorization.

2142304101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2835 counting only the distinct ones).

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

The square root of 2142304101 is about 46285.0310683703. The cubic root of 2142304101 is about 1289.1210688514.

Adding to 2142304101 its reverse (1014032412), we get a palindrome (3156336513).

The spelling of 2142304101 in words is "two billion, one hundred forty-two million, three hundred four thousand, one hundred one".