2121002002101 has 16 divisors (see below), whose sum is σ = 2995498404288. Its totient is φ = 1330316947200.

The previous prime is 2121002002057. The next prime is 2121002002177. The reversal of 2121002002101 is 1012002001212.

It is not a de Polignac number, because 2121002002101 - 2¹⁰ = 2121002001077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121002002181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7799995 + ... + 8067336.

It is an arithmetic number, because the mean of its divisors is an integer number (187218650268).

Almost surely, 2^{2121002002101} is an apocalyptic number.

It is an amenable number.

2121002002101 is a deficient number, since it is larger than the sum of its proper divisors (874496402187).

2121002002101 is a wasteful number, since it uses less digits than its factorization.

2121002002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15869972.

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

Adding to 2121002002101 its reverse (1012002001212), we get a palindrome (3133004003313).

The spelling of 2121002002101 in words is "two trillion, one hundred twenty-one billion, two million, two thousand, one hundred one".