11100001012221 has 32 divisors (see below), whose sum is σ = 17264448107136. Its totient is φ = 6268862720000.

The previous prime is 11100001012213. The next prime is 11100001012231. The reversal of 11100001012221 is 12221010000111.

It is a cyclic number.

It is not a de Polignac number, because 11100001012221 - 2³ = 11100001012213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11100001012197 and 11100001012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100001012231) by changing a digit.

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, 97894320 + ... + 98007641.

It is an arithmetic number, because the mean of its divisors is an integer number (539514003348).

Almost surely, 2^{11100001012221} is an apocalyptic number.

11100001012221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100001012221 is a deficient number, since it is larger than the sum of its proper divisors (6164447094915).

11100001012221 is a wasteful number, since it uses less digits than its factorization.

11100001012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195902093.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11100001012221 its reverse (12221010000111), we get a palindrome (23321011012332).

The spelling of 11100001012221 in words is "eleven trillion, one hundred billion, one million, twelve thousand, two hundred twenty-one".