2112142101 has 32 divisors (see below), whose sum is σ = 3073811328. Its totient is φ = 1284802560.

The previous prime is 2112142079. The next prime is 2112142111. The reversal of 2112142101 is 1012412112.

It is not a de Polignac number, because 2112142101 - 2¹¹ = 2112140053 is a prime.

It is a super-2 number, since 2×2112142101² = 8922288509633388402, 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 (2112142111) 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 31 ways as a sum of consecutive naturals, for example, 337735 + ... + 343931.

It is an arithmetic number, because the mean of its divisors is an integer number (96056604).

Almost surely, 2^2112142101 is an apocalyptic number.

It is an amenable number.

2112142101 is a deficient number, since it is larger than the sum of its proper divisors (961669227).

2112142101 is a wasteful number, since it uses less digits than its factorization.

2112142101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2112142101 is about 45958.0471843615. The cubic root of 2112142101 is about 1283.0425062164.

Adding to 2112142101 its reverse (1012412112), we get a palindrome (3124554213).

The spelling of 2112142101 in words is "two billion, one hundred twelve million, one hundred forty-two thousand, one hundred one".