10102010193 has 48 divisors (see below), whose sum is σ = 16856985600. Its totient is φ = 5765286240.

The previous prime is 10102010179. The next prime is 10102010197. The reversal of 10102010193 is 39101020101.

It is not a de Polignac number, because 10102010193 - 2⁸ = 10102009937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102010197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298048 + ... + 330206.

It is an arithmetic number, because the mean of its divisors is an integer number (351187200).

Almost surely, 2^10102010193 is an apocalyptic number.

It is an amenable number.

10102010193 is a deficient number, since it is larger than the sum of its proper divisors (6754975407).

10102010193 is a wasteful number, since it uses less digits than its factorization.

10102010193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32362 (or 32359 counting only the distinct ones).

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

Adding to 10102010193 its reverse (39101020101), we get a palindrome (49203030294).

The spelling of 10102010193 in words is "ten billion, one hundred two million, ten thousand, one hundred ninety-three".