11110000202000 has 240 divisors, whose sum is σ = 31559369914800. Its totient is φ = 3771425280000.

The previous prime is 11110000201991. The next prime is 11110000202017. The reversal of 11110000202000 is 20200001111.

It can be written as a sum of positive squares in 8 ways, for example, as 338896293904 + 10771103908096 = 582148^2 + 3281936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9336776 + ... + 10459224.

It is an arithmetic number, because the mean of its divisors is an integer number (131497374645).

Almost surely, 2^{11110000202000} is an apocalyptic number.

11110000202000 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 11110000202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779684957400).

11110000202000 is an abundant number, since it is smaller than the sum of its proper divisors (20449369712800).

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

11110000202000 is a wasteful number, since it uses less digits than its factorization.

11110000202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122587 (or 1122564 counting only the distinct ones).

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

Adding to 11110000202000 its reverse (20200001111), we get a palindrome (11130200203111).

The spelling of 11110000202000 in words is "eleven trillion, one hundred ten billion, two hundred two thousand".