220121220111001 has 48 divisors (see below), whose sum is σ = 258741971082000. Its totient is φ = 186458674688000.

The previous prime is 220121220110977. The next prime is 220121220111053. The reversal of 220121220111001 is 100111022121022.

220121220111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17556736885776 + 202564483225225 = 4190076^2 + 14232515^2 .

It is not a de Polignac number, because 220121220111001 - 2¹¹ = 220121220108953 is a prime.

It is a super-2 number, since 2×220121220111001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220121220111071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2960292315 + ... + 2960366671.

It is an arithmetic number, because the mean of its divisors is an integer number (5390457730875).

Almost surely, 2^{220121220111001} is an apocalyptic number.

It is an amenable number.

220121220111001 is a deficient number, since it is larger than the sum of its proper divisors (38620750970999).

220121220111001 is a wasteful number, since it uses less digits than its factorization.

220121220111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88746 (or 88735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 220121220111001 its reverse (100111022121022), we get a palindrome (320232242232023).

The spelling of 220121220111001 in words is "two hundred twenty trillion, one hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand, one".