10100101210193 has 2 divisors, whose sum is σ = 10100101210194. Its totient is φ = 10100101210192.

The previous prime is 10100101210159. The next prime is 10100101210261. The reversal of 10100101210193 is 39101210100101.

It is a happy number.

10100101210193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9643310415424 + 456790794769 = 3105368^2 + 675863^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101210193 - 2²⁰ = 10100100161617 is a prime.

It is a super-2 number, since 2×10100101210193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100101210993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050605096 + 5050050605097.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050605097).

Almost surely, 2^{10100101210193} is an apocalyptic number.

It is an amenable number.

10100101210193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101210193 is an equidigital number, since it uses as much as digits as its factorization.

10100101210193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 10100101210193 its reverse (39101210100101), we get a palindrome (49201311310294).

The spelling of 10100101210193 in words is "ten trillion, one hundred billion, one hundred one million, two hundred ten thousand, one hundred ninety-three".