101020201220221 has 16 divisors (see below), whose sum is σ = 103100492535984. Its totient is φ = 98946424571904.

The previous prime is 101020201220189. The next prime is 101020201220249. The reversal of 101020201220221 is 122022102020101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 322709205625 + 100697492014596 = 568075^2 + 10034814^2 .

It is not a de Polignac number, because 101020201220221 - 2⁵ = 101020201220189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101020201220195 and 101020201220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020201220261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173667355 + ... + 174248071.

It is an arithmetic number, because the mean of its divisors is an integer number (6443780783499).

Almost surely, 2^{101020201220221} is an apocalyptic number.

It is an amenable number.

101020201220221 is a deficient number, since it is larger than the sum of its proper divisors (2080291315763).

101020201220221 is an equidigital number, since it uses as much as digits as its factorization.

101020201220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586320.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101020201220221 its reverse (122022102020101), we get a palindrome (223042303240322).

The spelling of 101020201220221 in words is "one hundred one trillion, twenty billion, two hundred one million, two hundred twenty thousand, two hundred twenty-one".