1002002112120 has 32 divisors (see below), whose sum is σ = 3006006336720. Its totient is φ = 267200563200.

The previous prime is 1002002112119. The next prime is 1002002112151. The reversal of 1002002112120 is 212112002001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002002112096 and 1002002112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4175008681 + ... + 4175008920.

Almost surely, 2^{1002002112120} is an apocalyptic number.

1002002112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002002112120 is an abundant number, since it is smaller than the sum of its proper divisors (2004004224600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1002002112120 is a wasteful number, since it uses less digits than its factorization.

1002002112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350017615 (or 8350017611 counting only the distinct ones).

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

Adding to 1002002112120 its reverse (212112002001), we get a palindrome (1214114114121).

The spelling of 1002002112120 in words is "one trillion, two billion, two million, one hundred twelve thousand, one hundred twenty".