11110010202000 has 960 divisors, whose sum is σ = 40752722462400. Its totient is φ = 2817884160000.

The previous prime is 11110010201993. The next prime is 11110010202013. The reversal of 11110010202000 is 20201001111.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 5608996462224 + 5501013739776 = 2368332^2 + 2345424^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 15848801650 + ... + 15848802350.

It is an arithmetic number, because the mean of its divisors is an integer number (42450752565).

Almost surely, 2^{11110010202000} is an apocalyptic number.

11110010202000 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 11110010202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376361231200).

11110010202000 is an abundant number, since it is smaller than the sum of its proper divisors (29642712260400).

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

11110010202000 is a wasteful number, since it uses less digits than its factorization.

11110010202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11110010202000 its reverse (20201001111), we get a palindrome (11130211203111).

The spelling of 11110010202000 in words is "eleven trillion, one hundred ten billion, ten million, two hundred two thousand".