201100311131221 has 6 divisors (see below), whose sum is σ = 204146606782230. Its totient is φ = 198098813945736.

The previous prime is 201100311131189. The next prime is 201100311131233. The reversal of 201100311131221 is 122131113001102.

It can be written as a sum of positive squares in only one way, i.e., 175423693947121 + 25676617184100 = 13244761^2 + 5067210^2 .

It is not a de Polignac number, because 201100311131221 - 2⁵ = 201100311131189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201100311131821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22399228206 + ... + 22399237183.

It is an arithmetic number, because the mean of its divisors is an integer number (34024434463705).

Almost surely, 2^{201100311131221} is an apocalyptic number.

It is an amenable number.

201100311131221 is a deficient number, since it is larger than the sum of its proper divisors (3046295651009).

201100311131221 is an frugal number, since it uses more digits than its factorization.

201100311131221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44798465523 (or 44798465456 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 201100311131221 its reverse (122131113001102), we get a palindrome (323231424132323).

The spelling of 201100311131221 in words is "two hundred one trillion, one hundred billion, three hundred eleven million, one hundred thirty-one thousand, two hundred twenty-one".