10110102020000 has 120 divisors (see below), whose sum is σ = 25118633567412. Its totient is φ = 4004000000000.

The previous prime is 10110102019991. The next prime is 10110102020041. The reversal of 10110102020000 is 2020101101.

It can be written as a sum of positive squares in 10 ways, for example, as 475807484944 + 9634294535056 = 689788^2 + 3103916^2 .

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 10110102020000.

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 19 ways as a sum of consecutive naturals, for example, 482501 + ... + 4522500.

Almost surely, 2^{10110102020000} is an apocalyptic number.

10110102020000 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 10110102020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12559316783706).

10110102020000 is an abundant number, since it is smaller than the sum of its proper divisors (15008531547412).

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

10110102020000 is an equidigital number, since it uses as much as digits as its factorization.

10110102020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005132 (or 5005109 counting only the distinct ones).

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

Adding to 10110102020000 its reverse (2020101101), we get a palindrome (10112122121101).

It can be divided in two parts, 101 and 10102020000, that added together give a palindrome (10102020101).

The spelling of 10110102020000 in words is "ten trillion, one hundred ten billion, one hundred two million, twenty thousand".