11011001102010 has 1280 divisors, whose sum is σ = 39850165555200. Its totient is φ = 2116880510976.

The previous prime is 11011001101999. The next prime is 11011001102039. The reversal of 11011001102010 is 1020110011011.

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 = 11011001101983 and 11011001102001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4034810326 + ... + 4034813054.

It is an arithmetic number, because the mean of its divisors is an integer number (31132941840).

Almost surely, 2^{11011001102010} is an apocalyptic number.

11011001102010 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 11011001102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925082777600).

11011001102010 is an abundant number, since it is smaller than the sum of its proper divisors (28839164453190).

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

11011001102010 is a wasteful number, since it uses less digits than its factorization.

11011001102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011001102010 its reverse (1020110011011), we get a palindrome (12031111113021).

The spelling of 11011001102010 in words is "eleven trillion, eleven billion, one million, one hundred two thousand, ten".