11000101100010 has 128 divisors (see below), whose sum is σ = 29608530075648. Its totient is φ = 2591997408000.

The previous prime is 11000101099961. The next prime is 11000101100041. The reversal of 11000101100010 is 1000110100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11645565 + ... + 12554655.

It is an arithmetic number, because the mean of its divisors is an integer number (231316641216).

Almost surely, 2^{11000101100010} is an apocalyptic number.

11000101100010 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 11000101100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804265037824).

11000101100010 is an abundant number, since it is smaller than the sum of its proper divisors (18608428975638).

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

11000101100010 is a wasteful number, since it uses less digits than its factorization.

11000101100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910140.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11000101100010 its reverse (1000110100011), we get a palindrome (12000211200021).

Subtracting from 11000101100010 its reverse (1000110100011), we obtain a palindrome (9999990999999).

It can be divided in two parts, 11000101 and 100010, that added together give a palindrome (11100111).

The spelling of 11000101100010 in words is "eleven trillion, one hundred one million, one hundred thousand, ten".