221120100100011 has 32 divisors (see below), whose sum is σ = 345443477170176. Its totient is φ = 123172388928000.

The previous prime is 221120100099917. The next prime is 221120100100021. The reversal of 221120100100011 is 110001001021122.

It is not a de Polignac number, because 221120100100011 - 2³⁴ = 221102920230827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221120100100011.

It is not an unprimeable number, because it can be changed into a prime (221120100100021) 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, 103252770 + ... + 105372551.

It is an arithmetic number, because the mean of its divisors is an integer number (10795108661568).

Almost surely, 2^{221120100100011} is an apocalyptic number.

221120100100011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

221120100100011 is a deficient number, since it is larger than the sum of its proper divisors (124323377070165).

221120100100011 is a wasteful number, since it uses less digits than its factorization.

221120100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208626603.

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

Adding to 221120100100011 its reverse (110001001021122), we get a palindrome (331121101121133).

The spelling of 221120100100011 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred million, one hundred thousand, eleven".