100133202212221 has 2 divisors, whose sum is σ = 100133202212222. Its totient is φ = 100133202212220.

The previous prime is 100133202212179. The next prime is 100133202212231. The reversal of 100133202212221 is 122212202331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92967199802500 + 7166002409721 = 9641950^2 + 2676939^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133202212221 - 2²⁹ = 100132665341309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133202212192 and 100133202212201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133202212231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066601106110 + 50066601106111.

It is an arithmetic number, because the mean of its divisors is an integer number (50066601106111).

Almost surely, 2^{100133202212221} is an apocalyptic number.

It is an amenable number.

100133202212221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133202212221 is an equidigital number, since it uses as much as digits as its factorization.

100133202212221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100133202212221 its reverse (122212202331001), we get a palindrome (222345404543222).

The spelling of 100133202212221 in words is "one hundred trillion, one hundred thirty-three billion, two hundred two million, two hundred twelve thousand, two hundred twenty-one".