1002002011120 has 160 divisors (see below), whose sum is σ = 2624816001024. Its totient is φ = 352423526400.

The previous prime is 1002002011079. The next prime is 1002002011133. The reversal of 1002002011120 is 211102002001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002002011097 and 1002002011106.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57633949 + ... + 57651331.

Almost surely, 2^{1002002011120} is an apocalyptic number.

1002002011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002002011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312408000512).

1002002011120 is an abundant number, since it is smaller than the sum of its proper divisors (1622813989904).

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

1002002011120 is a wasteful number, since it uses less digits than its factorization.

1002002011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19551 (or 19545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002002011120 its reverse (211102002001), we get a palindrome (1213104013121).

The spelling of 1002002011120 in words is "one trillion, two billion, two million, eleven thousand, one hundred twenty".