11211101100221 has 8 divisors (see below), whose sum is σ = 12331368905088. Its totient is φ = 10191910089900.

The previous prime is 11211101100211. The next prime is 11211101100223. The reversal of 11211101100221 is 12200110111211.

11211101100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-11211101100221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211101100196 and 11211101100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211101100223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4211531765 + ... + 4211534426.

It is an arithmetic number, because the mean of its divisors is an integer number (1541421113136).

Almost surely, 2^{11211101100221} is an apocalyptic number.

11211101100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211101100221 is a deficient number, since it is larger than the sum of its proper divisors (1120267804867).

11211101100221 is an frugal number, since it uses more digits than its factorization.

11211101100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8423066224 (or 8423066202 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11211101100221 its reverse (12200110111211), we get a palindrome (23411211211432).

The spelling of 11211101100221 in words is "eleven trillion, two hundred eleven billion, one hundred one million, one hundred thousand, two hundred twenty-one".