101221201100353 has 2 divisors, whose sum is σ = 101221201100354. Its totient is φ = 101221201100352.

The previous prime is 101221201100081. The next prime is 101221201100381. The reversal of 101221201100353 is 353001102122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51548264402944 + 49672936697409 = 7179712^2 + 7047903^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221201100353 - 2²⁵ = 101221167545921 is a prime.

It is not a weakly prime, because it can be changed into another prime (101221201100753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610600550176 + 50610600550177.

It is an arithmetic number, because the mean of its divisors is an integer number (50610600550177).

Almost surely, 2^{101221201100353} is an apocalyptic number.

It is an amenable number.

101221201100353 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221201100353 is an equidigital number, since it uses as much as digits as its factorization.

101221201100353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 101221201100353 its reverse (353001102122101), we get a palindrome (454222303222454).

The spelling of 101221201100353 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred one million, one hundred thousand, three hundred fifty-three".