221101111011001 has 16 divisors (see below), whose sum is σ = 248477885792640. Its totient is φ = 195206795562240.

The previous prime is 221101111010957. The next prime is 221101111011017. The reversal of 221101111011001 is 100110111101122.

It is a cyclic number.

It is not a de Polignac number, because 221101111011001 - 2²⁵ = 221101077456569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221101111081001) 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, 19930531 + ... + 28972888.

It is an arithmetic number, because the mean of its divisors is an integer number (15529867862040).

Almost surely, 2^{221101111011001} is an apocalyptic number.

It is an amenable number.

221101111011001 is a deficient number, since it is larger than the sum of its proper divisors (27376774781639).

221101111011001 is a wasteful number, since it uses less digits than its factorization.

221101111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48918576.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 221101111011001 its reverse (100110111101122), we get a palindrome (321211222112123).

The spelling of 221101111011001 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred eleven million, eleven thousand, one".