2121120001 has 64 divisors (see below), whose sum is σ = 2982873600. Its totient is φ = 1454745600.

The previous prime is 2121119993. The next prime is 2121120031. The reversal of 2121120001 is 1000211212.

It is not a de Polignac number, because 2121120001 - 2³ = 2121119993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2121120001.

It is not an unprimeable number, because it can be changed into a prime (2121120031) 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 63 ways as a sum of consecutive naturals, for example, 2583171 + ... + 2583991.

It is an arithmetic number, because the mean of its divisors is an integer number (46607400).

Almost surely, 2^2121120001 is an apocalyptic number.

It is an amenable number.

2121120001 is a deficient number, since it is larger than the sum of its proper divisors (861753599).

2121120001 is a wasteful number, since it uses less digits than its factorization.

2121120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2121120001 is about 46055.6185606056. The cubic root of 2121120001 is about 1284.8578425307.

Adding to 2121120001 its reverse (1000211212), we get a palindrome (3121331213).

The spelling of 2121120001 in words is "two billion, one hundred twenty-one million, one hundred twenty thousand, one".