10112121010193 has 2 divisors, whose sum is σ = 10112121010194. Its totient is φ = 10112121010192.

The previous prime is 10112121010151. The next prime is 10112121010207. The reversal of 10112121010193 is 39101012121101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7087346110849 + 3024774899344 = 2662207^2 + 1739188^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112121010193 - 2¹⁸ = 10112120748049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112111010193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056060505096 + 5056060505097.

It is an arithmetic number, because the mean of its divisors is an integer number (5056060505097).

Almost surely, 2^{10112121010193} is an apocalyptic number.

It is an amenable number.

10112121010193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112121010193 is an equidigital number, since it uses as much as digits as its factorization.

10112121010193 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.

Adding to 10112121010193 its reverse (39101012121101), we get a palindrome (49213133131294).

The spelling of 10112121010193 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, one hundred ninety-three".