101111226026873 has 2 divisors, whose sum is σ = 101111226026874. Its totient is φ = 101111226026872.

The previous prime is 101111226026819. The next prime is 101111226026879. The reversal of 101111226026873 is 378620622111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91307733138064 + 9803492888809 = 9555508^2 + 3131053^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111226026873 - 2⁶ = 101111226026809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111226026873.

It is not a weakly prime, because it can be changed into another prime (101111226026879) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555613013436 + 50555613013437.

It is an arithmetic number, because the mean of its divisors is an integer number (50555613013437).

Almost surely, 2^{101111226026873} is an apocalyptic number.

It is an amenable number.

101111226026873 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111226026873 is an equidigital number, since it uses as much as digits as its factorization.

101111226026873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48384, while the sum is 41.

Adding to 101111226026873 its reverse (378620622111101), we get a palindrome (479731848137974).

The spelling of 101111226026873 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty-six million, twenty-six thousand, eight hundred seventy-three".