100211222111261 has 2 divisors, whose sum is σ = 100211222111262. Its totient is φ = 100211222111260.

The previous prime is 100211222111201. The next prime is 100211222111279. The reversal of 100211222111261 is 162111222112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99397809324025 + 813412787236 = 9969845^2 + 901894^2 .

It is an emirp because it is prime and its reverse (162111222112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100211222111261 - 2⁶ = 100211222111197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100211222111201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105611055630 + 50105611055631.

It is an arithmetic number, because the mean of its divisors is an integer number (50105611055631).

Almost surely, 2^{100211222111261} is an apocalyptic number.

It is an amenable number.

100211222111261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211222111261 is an equidigital number, since it uses as much as digits as its factorization.

100211222111261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 100211222111261 its reverse (162111222112001), we get a palindrome (262322444223262).

The spelling of 100211222111261 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, two hundred sixty-one".