11220121100111 has 16 divisors (see below), whose sum is σ = 13988797625088. Its totient is φ = 8742904497600.

The previous prime is 11220121100011. The next prime is 11220121100113. The reversal of 11220121100111 is 11100112102211.

It is not a de Polignac number, because 11220121100111 - 2¹⁸ = 11220120837967 is a prime.

It is a super-2 number, since 2×11220121100111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220121100113) 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 15 ways as a sum of consecutive naturals, for example, 23147411 + ... + 23627163.

It is an arithmetic number, because the mean of its divisors is an integer number (874299851568).

Almost surely, 2^{11220121100111} is an apocalyptic number.

11220121100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11220121100111 is a deficient number, since it is larger than the sum of its proper divisors (2768676524977).

11220121100111 is a wasteful number, since it uses less digits than its factorization.

11220121100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783502.

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

Adding to 11220121100111 its reverse (11100112102211), we get a palindrome (22320233202322).

The spelling of 11220121100111 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand, one hundred eleven".