10100102000193 has 32 divisors (see below), whose sum is σ = 15653005920000. Its totient is φ = 6428167675776.

The previous prime is 10100102000141. The next prime is 10100102000227. The reversal of 10100102000193 is 39100020100101.

It is not a de Polignac number, because 10100102000193 - 2⁸ = 10100101999937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100102000113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72397933 + ... + 72537306.

It is an arithmetic number, because the mean of its divisors is an integer number (489156435000).

Almost surely, 2^{10100102000193} is an apocalyptic number.

It is an amenable number.

10100102000193 is a deficient number, since it is larger than the sum of its proper divisors (5552903919807).

10100102000193 is a wasteful number, since it uses less digits than its factorization.

10100102000193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144935366 (or 144935360 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10100102000193 its reverse (39100020100101), we get a palindrome (49200122100294).

The spelling of 10100102000193 in words is "ten trillion, one hundred billion, one hundred two million, one hundred ninety-three", and thus it is an aban number.