221001021122001 has 16 divisors (see below), whose sum is σ = 297545311165440. Its totient is φ = 145895530545360.

The previous prime is 221001021121981. The next prime is 221001021122029. The reversal of 221001021122001 is 100221120100122.

It is not a de Polignac number, because 221001021122001 - 2³⁷ = 220863582168529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221001021122071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14137795 + ... + 25335336.

It is an arithmetic number, because the mean of its divisors is an integer number (18596581947840).

Almost surely, 2^{221001021122001} is an apocalyptic number.

It is an amenable number.

221001021122001 is a deficient number, since it is larger than the sum of its proper divisors (76544290043439).

221001021122001 is a wasteful number, since it uses less digits than its factorization.

221001021122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39491356.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221001021122001 its reverse (100221120100122), we get a palindrome (321222141222123).

The spelling of 221001021122001 in words is "two hundred twenty-one trillion, one billion, twenty-one million, one hundred twenty-two thousand, one".