1002002012121 has 48 divisors (see below), whose sum is σ = 1471454624448. Its totient is φ = 601495977600.

The previous prime is 1002002012071. The next prime is 1002002012149. The reversal of 1002002012121 is 1212102002001.

It is not a de Polignac number, because 1002002012121 - 2¹⁴ = 1002001995737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002002012097 and 1002002012106.

It is not an unprimeable number, because it can be changed into a prime (1002002012191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436981851 + ... + 436984143.

It is an arithmetic number, because the mean of its divisors is an integer number (30655304676).

Almost surely, 2^{1002002012121} is an apocalyptic number.

1002002012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002002012121 is a deficient number, since it is larger than the sum of its proper divisors (469452612327).

1002002012121 is a wasteful number, since it uses less digits than its factorization.

1002002012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3255 counting only the distinct ones).

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

Adding to 1002002012121 its reverse (1212102002001), we get a palindrome (2214104014122).

The spelling of 1002002012121 in words is "one trillion, two billion, two million, twelve thousand, one hundred twenty-one".