11211101100010 has 64 divisors (see below), whose sum is σ = 23324895820800. Its totient is φ = 3800140388352.

The previous prime is 11211101099993. The next prime is 11211101100037. The reversal of 11211101100010 is 1000110111211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 11211101100010.

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 31 ways as a sum of consecutive naturals, for example, 51432031 + ... + 51649549.

It is an arithmetic number, because the mean of its divisors is an integer number (364451497200).

Almost surely, 2^{11211101100010} is an apocalyptic number.

11211101100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11211101100010 is an abundant number, since it is smaller than the sum of its proper divisors (12113794720790).

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

11211101100010 is a wasteful number, since it uses less digits than its factorization.

11211101100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225895.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11211101100010 its reverse (1000110111211), we get a palindrome (12211211211221).

The spelling of 11211101100010 in words is "eleven trillion, two hundred eleven billion, one hundred one million, one hundred thousand, ten".