11121100101221 has 16 divisors (see below), whose sum is σ = 12770765337600. Its totient is φ = 9577887894000.

The previous prime is 11121100101217. The next prime is 11121100101233. The reversal of 11121100101221 is 12210100112111.

It is a cyclic number.

It is not a de Polignac number, because 11121100101221 - 2² = 11121100101217 is a prime.

It is a super-2 number, since 2×11121100101221² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121100101196 and 11121100101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121100101271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29459300 + ... + 29834418.

It is an arithmetic number, because the mean of its divisors is an integer number (798172833600).

Almost surely, 2^{11121100101221} is an apocalyptic number.

11121100101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121100101221 is a deficient number, since it is larger than the sum of its proper divisors (1649665236379).

11121100101221 is a wasteful number, since it uses less digits than its factorization.

11121100101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517000.

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

Adding to 11121100101221 its reverse (12210100112111), we get a palindrome (23331200213332).

The spelling of 11121100101221 in words is "eleven trillion, one hundred twenty-one billion, one hundred million, one hundred one thousand, two hundred twenty-one".