101101091711393 has 2 divisors, whose sum is σ = 101101091711394. Its totient is φ = 101101091711392.

The previous prime is 101101091711369. The next prime is 101101091711401. The reversal of 101101091711393 is 393117190101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62550193041424 + 38550898669969 = 7908868^2 + 6208937^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101091711393 - 2¹⁰ = 101101091710369 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101091719393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550545855696 + 50550545855697.

It is an arithmetic number, because the mean of its divisors is an integer number (50550545855697).

Almost surely, 2^{101101091711393} is an apocalyptic number.

It is an amenable number.

101101091711393 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101091711393 is an equidigital number, since it uses as much as digits as its factorization.

101101091711393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5103, while the sum is 38.

The spelling of 101101091711393 in words is "one hundred one trillion, one hundred one billion, ninety-one million, seven hundred eleven thousand, three hundred ninety-three".