102101193 has 24 divisors (see below), whose sum is σ = 159038880. Its totient is φ = 62907840.

The previous prime is 102101191. The next prime is 102101213. The reversal of 102101193 is 391101201.

It is not a de Polignac number, because 102101193 - 2¹ = 102101191 is a prime.

It is a super-2 number, since 2×102101193² = 20849307224046498, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102101191) 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 23 ways as a sum of consecutive naturals, for example, 271 + ... + 14292.

It is an arithmetic number, because the mean of its divisors is an integer number (6626620).

Almost surely, 2^102101193 is an apocalyptic number.

It is an amenable number.

102101193 is a deficient number, since it is larger than the sum of its proper divisors (56937687).

102101193 is a wasteful number, since it uses less digits than its factorization.

102101193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14629 (or 14626 counting only the distinct ones).

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

The square root of 102101193 is about 10104.5134964530. The cubic root of 102101193 is about 467.3873338459.

Adding to 102101193 its reverse (391101201), we get a palindrome (493202394).

The spelling of 102101193 in words is "one hundred two million, one hundred one thousand, one hundred ninety-three".