101201201211221 has 8 divisors (see below), whose sum is σ = 102245741442264. Its totient is φ = 100156686059520.

The previous prime is 101201201211163. The next prime is 101201201211311. The reversal of 101201201211221 is 122112102102101.

It can be written as a sum of positive squares in 4 ways, for example, as 1560278290321 + 99640922920900 = 1249111^2 + 9982030^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101201201211221 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101201201211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201201211421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1896911 + ... + 14352723.

It is an arithmetic number, because the mean of its divisors is an integer number (12780717680283).

Almost surely, 2^{101201201211221} is an apocalyptic number.

It is an amenable number.

101201201211221 is a deficient number, since it is larger than the sum of its proper divisors (1044540231043).

101201201211221 is an equidigital number, since it uses as much as digits as its factorization.

101201201211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12539671.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101201201211221 its reverse (122112102102101), we get a palindrome (223313303313322).

The spelling of 101201201211221 in words is "one hundred one trillion, two hundred one billion, two hundred one million, two hundred eleven thousand, two hundred twenty-one".