2101101112193 has 2 divisors, whose sum is σ = 2101101112194. Its totient is φ = 2101101112192.

The previous prime is 2101101112171. The next prime is 2101101112211. The reversal of 2101101112193 is 3912111011012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1841742123664 + 259358988529 = 1357108^2 + 509273^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101101112193 - 2⁶ = 2101101112129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2101101142193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050550556096 + 1050550556097.

It is an arithmetic number, because the mean of its divisors is an integer number (1050550556097).

Almost surely, 2^{2101101112193} is an apocalyptic number.

It is an amenable number.

2101101112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101101112193 is an equidigital number, since it uses as much as digits as its factorization.

2101101112193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 23.

The spelling of 2101101112193 in words is "two trillion, one hundred one billion, one hundred one million, one hundred twelve thousand, one hundred ninety-three".