1002113112120 has 128 divisors (see below), whose sum is σ = 3013297597440. Its totient is φ = 266612290560.

The previous prime is 1002113112109. The next prime is 1002113112149. The reversal of 1002113112120 is 212113112001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002113112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132009525 + ... + 132017115.

It is an arithmetic number, because the mean of its divisors is an integer number (23541387480).

Almost surely, 2^{1002113112120} is an apocalyptic number.

1002113112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002113112120 is an abundant number, since it is smaller than the sum of its proper divisors (2011184485320).

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

1002113112120 is a wasteful number, since it uses less digits than its factorization.

1002113112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 10001 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1002113112120 its reverse (212113112001), we get a palindrome (1214226224121).

The spelling of 1002113112120 in words is "one trillion, two billion, one hundred thirteen million, one hundred twelve thousand, one hundred twenty".