100133221261 has 2 divisors, whose sum is σ = 100133221262. Its totient is φ = 100133221260.

The previous prime is 100133221187. The next prime is 100133221319. The reversal of 100133221261 is 162122331001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61699579236 + 38433642025 = 248394^2 + 196045^2 .

It is an emirp because it is prime and its reverse (162122331001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100133221261 - 2¹³ = 100133213069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133221361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066610630 + 50066610631.

It is an arithmetic number, because the mean of its divisors is an integer number (50066610631).

Almost surely, 2^100133221261 is an apocalyptic number.

It is an amenable number.

100133221261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133221261 is an equidigital number, since it uses as much as digits as its factorization.

100133221261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100133221261 its reverse (162122331001), we get a palindrome (262255552262).

The spelling of 100133221261 in words is "one hundred billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred sixty-one".