101850085408193 has 2 divisors, whose sum is σ = 101850085408194. Its totient is φ = 101850085408192.

The previous prime is 101850085408163. The next prime is 101850085408223. The reversal of 101850085408193 is 391804580058101.

It is a balanced prime because it is at equal distance from previous prime (101850085408163) and next prime (101850085408223).

It can be written as a sum of positive squares in only one way, i.e., 65469006229264 + 36381079178929 = 8091292^2 + 6031673^2 .

It is a cyclic number.

It is not a de Polignac number, because 101850085408193 - 2⁸ = 101850085407937 is a prime.

It is not a weakly prime, because it can be changed into another prime (101850085408153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50925042704096 + 50925042704097.

It is an arithmetic number, because the mean of its divisors is an integer number (50925042704097).

Almost surely, 2^{101850085408193} is an apocalyptic number.

It is an amenable number.

101850085408193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101850085408193 is an equidigital number, since it uses as much as digits as its factorization.

101850085408193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1382400, while the sum is 53.

The spelling of 101850085408193 in words is "one hundred one trillion, eight hundred fifty billion, eighty-five million, four hundred eight thousand, one hundred ninety-three".