221101211111001 has 32 divisors (see below), whose sum is σ = 318299504130048. Its totient is φ = 135710910950400.

The previous prime is 221101211110999. The next prime is 221101211111029. The reversal of 221101211111001 is 100111112101122.

It is not a de Polignac number, because 221101211111001 - 2¹ = 221101211110999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221101211111041) 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, 21139165 + ... + 29817221.

It is an arithmetic number, because the mean of its divisors is an integer number (9946859504064).

Almost surely, 2^{221101211111001} is an apocalyptic number.

It is an amenable number.

221101211111001 is a deficient number, since it is larger than the sum of its proper divisors (97198293019047).

221101211111001 is a wasteful number, since it uses less digits than its factorization.

221101211111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679761.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 221101211111001 its reverse (100111112101122), we get a palindrome (321212323212123).

The spelling of 221101211111001 in words is "two hundred twenty-one trillion, one hundred one billion, two hundred eleven million, one hundred eleven thousand, one".