11011101010002 has 160 divisors (see below), whose sum is σ = 26299657359360. Its totient is φ = 3435789091680.

The previous prime is 11011101009983. The next prime is 11011101010051. The reversal of 11011101010002 is 20001010111011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48910677 + ... + 49135287.

It is an arithmetic number, because the mean of its divisors is an integer number (164372858496).

Almost surely, 2^{11011101010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011101010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13149828679680).

11011101010002 is an abundant number, since it is smaller than the sum of its proper divisors (15288556349358).

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

11011101010002 is a wasteful number, since it uses less digits than its factorization.

11011101010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224930 (or 224921 counting only the distinct ones).

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

Adding to 11011101010002 its reverse (20001010111011), we get a palindrome (31012111121013).

It can be divided in two parts, 1101110 and 1010002, that added together give a palindrome (2111112).

The spelling of 11011101010002 in words is "eleven trillion, eleven billion, one hundred one million, ten thousand, two".