100111122101071 has 2 divisors, whose sum is σ = 100111122101072. Its totient is φ = 100111122101070.

The previous prime is 100111122100991. The next prime is 100111122101141. The reversal of 100111122101071 is 170101221111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111122101071 - 2¹⁵ = 100111122068303 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111123101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055561050535 + 50055561050536.

It is an arithmetic number, because the mean of its divisors is an integer number (50055561050536).

Almost surely, 2^{100111122101071} is an apocalyptic number.

100111122101071 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111122101071 is an equidigital number, since it uses as much as digits as its factorization.

100111122101071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 100111122101071 its reverse (170101221111001), we get a palindrome (270212343212072).

The spelling of 100111122101071 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, one hundred one thousand, seventy-one".