1002110110000 has 200 divisors, whose sum is σ = 2492328762000. Its totient is φ = 389975040000.

The previous prime is 1002110109967. The next prime is 1002110110003. The reversal of 1002110110000 is 110112001.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1002110110003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155386776 + ... + 155393224.

It is an arithmetic number, because the mean of its divisors is an integer number (12461643810).

Almost surely, 2^{1002110110000} is an apocalyptic number.

1002110110000 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 1002110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246164381000).

1002110110000 is an abundant number, since it is smaller than the sum of its proper divisors (1490218652000).

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

1002110110000 is an equidigital number, since it uses as much as digits as its factorization.

1002110110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6897 (or 6876 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002110110000 its reverse (110112001), we get a palindrome (1002220222001).

The spelling of 1002110110000 in words is "one trillion, two billion, one hundred ten million, one hundred ten thousand".