221111001101001 has 32 divisors (see below), whose sum is σ = 340261652966400. Its totient is φ = 126309249823680.

The previous prime is 221111001100961. The next prime is 221111001101021. The reversal of 221111001101001 is 100101100111122.

It is not a de Polignac number, because 221111001101001 - 2⁹ = 221111001100489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221111001101021) 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, 894925021 + ... + 895172058.

It is an arithmetic number, because the mean of its divisors is an integer number (10633176655200).

Almost surely, 2^{221111001101001} is an apocalyptic number.

It is an amenable number.

221111001101001 is a deficient number, since it is larger than the sum of its proper divisors (119150651865399).

221111001101001 is a wasteful number, since it uses less digits than its factorization.

221111001101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790097309.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 221111001101001 its reverse (100101100111122), we get a palindrome (321212101212123).

The spelling of 221111001101001 in words is "two hundred twenty-one trillion, one hundred eleven billion, one million, one hundred one thousand, one".