221201201221001 has 8 divisors (see below), whose sum is σ = 222488657684040. Its totient is φ = 219913846330752.

The previous prime is 221201201220953. The next prime is 221201201221171. The reversal of 221201201221001 is 100122102102122.

It can be written as a sum of positive squares in 4 ways, for example, as 117702645337225 + 103498555883776 = 10849085^2 + 10173424^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221201201221001 - 2¹⁴ = 221201201204617 is a prime.

It is a super-2 number, since 2×221201201221001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221201201221801) 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 7 ways as a sum of consecutive naturals, for example, 21022820 + ... + 29738213.

It is an arithmetic number, because the mean of its divisors is an integer number (27811082210505).

Almost surely, 2^{221201201221001} is an apocalyptic number.

It is an amenable number.

221201201221001 is a deficient number, since it is larger than the sum of its proper divisors (1287456463039).

221201201221001 is a wasteful number, since it uses less digits than its factorization.

221201201221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50786395.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221201201221001 its reverse (100122102102122), we get a palindrome (321323303323123).

The spelling of 221201201221001 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred one million, two hundred twenty-one thousand, one".