2101112131193 has 2 divisors, whose sum is σ = 2101112131194. Its totient is φ = 2101112131192.

The previous prime is 2101112131169. The next prime is 2101112131231. The reversal of 2101112131193 is 3911312111012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1171561617769 + 929550513424 = 1082387^2 + 964132^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112131193 - 2¹² = 2101112127097 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 (2101112139193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050556065596 + 1050556065597.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556065597).

Almost surely, 2^{2101112131193} is an apocalyptic number.

It is an amenable number.

2101112131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112131193 is an equidigital number, since it uses as much as digits as its factorization.

2101112131193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 2101112131193 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred thirty-one thousand, one hundred ninety-three".