1002110120000 has 280 divisors, whose sum is σ = 2726001550272. Its totient is φ = 362361600000.

The previous prime is 1002110119987. The next prime is 1002110120009. The reversal of 1002110120000 is 210112001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002110120000.

It is not an unprimeable number, because it can be changed into a prime (1002110120009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 79633709 + ... + 79646291.

Almost surely, 2^{1002110120000} is an apocalyptic number.

1002110120000 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 1002110120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363000775136).

1002110120000 is an abundant number, since it is smaller than the sum of its proper divisors (1723891430272).

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

1002110120000 is a wasteful number, since it uses less digits than its factorization.

1002110120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12807 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1002110120000 its reverse (210112001), we get a palindrome (1002320232001).

The spelling of 1002110120000 in words is "one trillion, two billion, one hundred ten million, one hundred twenty thousand".