11000202001110 has 256 divisors, whose sum is σ = 34215091200000. Its totient is φ = 2513854611072.

The previous prime is 11000202001093. The next prime is 11000202001123. The reversal of 11000202001110 is 1110020200011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11000202001092 and 11000202001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 776898211 + ... + 776912369.

It is an arithmetic number, because the mean of its divisors is an integer number (133652700000).

Almost surely, 2^{11000202001110} is an apocalyptic number.

11000202001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000202001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107545600000).

11000202001110 is an abundant number, since it is smaller than the sum of its proper divisors (23214889198890).

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

11000202001110 is a wasteful number, since it uses less digits than its factorization.

11000202001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22565 counting only the distinct ones).

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

Adding to 11000202001110 its reverse (1110020200011), we get a palindrome (12110222201121).

The spelling of 11000202001110 in words is "eleven trillion, two hundred two million, one thousand, one hundred ten".