2112120221001 has 64 divisors (see below), whose sum is σ = 3347306366976. Its totient is φ = 1159583040000.

The previous prime is 2112120220993. The next prime is 2112120221033. The reversal of 2112120221001 is 1001220212112.

It is not a de Polignac number, because 2112120221001 - 2³ = 2112120220993 is a prime.

It is a super-3 number, since 3×2112120221001³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2112120223001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42386301 + ... + 42436101.

It is an arithmetic number, because the mean of its divisors is an integer number (52301661984).

Almost surely, 2^{2112120221001} is an apocalyptic number.

2112120221001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112120221001 is a deficient number, since it is larger than the sum of its proper divisors (1235186145975).

2112120221001 is a wasteful number, since it uses less digits than its factorization.

2112120221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50622.

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

Adding to 2112120221001 its reverse (1001220212112), we get a palindrome (3113340433113).

The spelling of 2112120221001 in words is "two trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, one".