1002121002121 has 8 divisors (see below), whose sum is σ = 1002548978984. Its totient is φ = 1001693122560.

The previous prime is 1002121002053. The next prime is 1002121002143. The reversal of 1002121002121 is 1212001212001.

It can be written as a sum of positive squares in 4 ways, for example, as 432390414096 + 569730588025 = 657564^2 + 754805^2 .

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 1002121002121 - 2⁷ = 1002121001993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002121002191) 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, 26274361 + ... + 26312473.

It is an arithmetic number, because the mean of its divisors is an integer number (125318622373).

Almost surely, 2^{1002121002121} is an apocalyptic number.

It is an amenable number.

1002121002121 is a deficient number, since it is larger than the sum of its proper divisors (427976863).

1002121002121 is an equidigital number, since it uses as much as digits as its factorization.

1002121002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48651.

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

Adding to 1002121002121 its reverse (1212001212001), we get a palindrome (2214122214122).

The spelling of 1002121002121 in words is "one trillion, two billion, one hundred twenty-one million, two thousand, one hundred twenty-one".