1002111110000 has 1200 divisors, whose sum is σ = 3462211737600. Its totient is φ = 272574720000.

The previous prime is 1002111109927. The next prime is 1002111110023. The reversal of 1002111110000 is 111112001.

It is a happy number.

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 1002111110000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2092089761 + ... + 2092090239.

It is an arithmetic number, because the mean of its divisors is an integer number (2885176448).

Almost surely, 2^{1002111110000} is an apocalyptic number.

1002111110000 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 1002111110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731105868800).

1002111110000 is an abundant number, since it is smaller than the sum of its proper divisors (2460100627600).

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

1002111110000 is a wasteful number, since it uses less digits than its factorization.

1002111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1002111110000 its reverse (111112001), we get a palindrome (1002222222001).

It can be divided in two parts, 1002111 and 110000, that added together give a palindrome (1112111).

The spelling of 1002111110000 in words is "one trillion, two billion, one hundred eleven million, one hundred ten thousand".