2112120201 has 16 divisors (see below), whose sum is σ = 2837840000. Its totient is φ = 1397260800.

The previous prime is 2112120191. The next prime is 2112120223. The reversal of 2112120201 is 1020212112.

It is not a de Polignac number, because 2112120201 - 2¹⁵ = 2112087433 is a prime.

It is a super-2 number, since 2×2112120201² = 8922103486944560802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112120251) 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, 563931 + ... + 567663.

It is an arithmetic number, because the mean of its divisors is an integer number (177365000).

Almost surely, 2^2112120201 is an apocalyptic number.

It is an amenable number.

2112120201 is a deficient number, since it is larger than the sum of its proper divisors (725719799).

2112120201 is a wasteful number, since it uses less digits than its factorization.

2112120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136.

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

The square root of 2112120201 is about 45957.8089229676. The cubic root of 2112120201 is about 1283.0380717408.

Adding to 2112120201 its reverse (1020212112), we get a palindrome (3132332313).

The spelling of 2112120201 in words is "two billion, one hundred twelve million, one hundred twenty thousand, two hundred one".