101201220220021 has 8 divisors (see below), whose sum is σ = 101631969218840. Its totient is φ = 100771354810368.

The previous prime is 101201220219971. The next prime is 101201220220049. The reversal of 101201220220021 is 120022022102101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64297721439396 + 36903498780625 = 8018586^2 + 6074825^2 .

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 101201220220021 - 2¹⁹ = 101201219695733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201220219977 and 101201220220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201220226021) 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, 220667736 + ... + 221125873.

It is an arithmetic number, because the mean of its divisors is an integer number (12703996152355).

Almost surely, 2^{101201220220021} is an apocalyptic number.

It is an amenable number.

101201220220021 is a deficient number, since it is larger than the sum of its proper divisors (430748998819).

101201220220021 is an equidigital number, since it uses as much as digits as its factorization.

101201220220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441794583.

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

Adding to 101201220220021 its reverse (120022022102101), we get a palindrome (221223242322122).

The spelling of 101201220220021 in words is "one hundred one trillion, two hundred one billion, two hundred twenty million, two hundred twenty thousand, twenty-one".