2001121221121 has 8 divisors (see below), whose sum is σ = 2184814735488. Its totient is φ = 1817723274000.

The previous prime is 2001121221031. The next prime is 2001121221133. The reversal of 2001121221121 is 1211221211002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001121221121 - 2¹¹ = 2001121219073 is a prime.

It is a super-2 number, since 2×2001121221121² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001121221095 and 2001121221104.

It is not an unprimeable number, because it can be changed into a prime (2001121221161) 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 7 ways as a sum of consecutive naturals, for example, 73877650 + ... + 73904731.

It is an arithmetic number, because the mean of its divisors is an integer number (273101841936).

Almost surely, 2^{2001121221121} is an apocalyptic number.

It is an amenable number.

2001121221121 is a deficient number, since it is larger than the sum of its proper divisors (183693514367).

2001121221121 is a wasteful number, since it uses less digits than its factorization.

2001121221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147783623.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2001121221121 its reverse (1211221211002), we get a palindrome (3212342432123).

The spelling of 2001121221121 in words is "two trillion, one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".