2001121002121 has 16 divisors (see below), whose sum is σ = 2084130270720. Its totient is φ = 1919268207360.

The previous prime is 2001121002113. The next prime is 2001121002143. The reversal of 2001121002121 is 1212001211002.

It is a cyclic number.

It is not a de Polignac number, because 2001121002121 - 2³ = 2001121002113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001121102121) 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 15 ways as a sum of consecutive naturals, for example, 71177415 + ... + 71205523.

It is an arithmetic number, because the mean of its divisors is an integer number (130258141920).

Almost surely, 2^{2001121002121} is an apocalyptic number.

It is an amenable number.

2001121002121 is a deficient number, since it is larger than the sum of its proper divisors (83009268599).

2001121002121 is a wasteful number, since it uses less digits than its factorization.

2001121002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48576.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2001121002121 its reverse (1212001211002), we get a palindrome (3213122213123).

The spelling of 2001121002121 in words is "two trillion, one billion, one hundred twenty-one million, two thousand, one hundred twenty-one".