1002000112120 has 96 divisors (see below), whose sum is σ = 2632332686400. Its totient is φ = 342265604352.

The previous prime is 1002000112093. The next prime is 1002000112121. The reversal of 1002000112120 is 212110002001.

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 = 1002000112097 and 1002000112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000112121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 422992 + ... + 1477471.

It is an arithmetic number, because the mean of its divisors is an integer number (27420132150).

Almost surely, 2^{1002000112120} is an apocalyptic number.

1002000112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000112120 is an abundant number, since it is smaller than the sum of its proper divisors (1630332574280).

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

1002000112120 is a wasteful number, since it uses less digits than its factorization.

1002000112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900757 (or 1900746 counting only the distinct ones).

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

Adding to 1002000112120 its reverse (212110002001), we get a palindrome (1214110114121).

The spelling of 1002000112120 in words is "one trillion, two billion, one hundred twelve thousand, one hundred twenty".