101111111101093 has 2 divisors, whose sum is σ = 101111111101094. Its totient is φ = 101111111101092.

The previous prime is 101111111101073. The next prime is 101111111101177. The reversal of 101111111101093 is 390101111111101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100898449011684 + 212662089409 = 10044822^2 + 461153^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111111101093 - 2⁵ = 101111111101061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111111101073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555555550546 + 50555555550547.

It is an arithmetic number, because the mean of its divisors is an integer number (50555555550547).

Almost surely, 2^{101111111101093} is an apocalyptic number.

It is an amenable number.

101111111101093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111111101093 is an equidigital number, since it uses as much as digits as its factorization.

101111111101093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 22.

Adding to 101111111101093 its reverse (390101111111101), we get a palindrome (491212222212194).

The spelling of 101111111101093 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, one hundred one thousand, ninety-three".