101101112222059 has 2 divisors, whose sum is σ = 101101112222060. Its totient is φ = 101101112222058.

The previous prime is 101101112222057. The next prime is 101101112222101. The reversal of 101101112222059 is 950222211101101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101101112222059 - 2¹ = 101101112222057 is a prime.

Together with 101101112222057, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101101112222057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550556111029 + 50550556111030.

It is an arithmetic number, because the mean of its divisors is an integer number (50550556111030).

Almost surely, 2^{101101112222059} is an apocalyptic number.

101101112222059 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101112222059 is an equidigital number, since it uses as much as digits as its factorization.

101101112222059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 28.

The spelling of 101101112222059 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, fifty-nine".