10102032138 has 64 divisors (see below), whose sum is σ = 23694612480. Its totient is φ = 2838384000.

The previous prime is 10102032089. The next prime is 10102032139. The reversal of 10102032138 is 83123020101.

It is not an unprimeable number, because it can be changed into a prime (10102032139) 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 31 ways as a sum of consecutive naturals, for example, 26763 + ... + 144638.

It is an arithmetic number, because the mean of its divisors is an integer number (370228320).

Almost surely, 2^10102032138 is an apocalyptic number.

10102032138 is an abundant number, since it is smaller than the sum of its proper divisors (13592580342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102032138 is a wasteful number, since it uses less digits than its factorization.

10102032138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171483.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10102032138 its reverse (83123020101), we get a palindrome (93225052239).

The spelling of 10102032138 in words is "ten billion, one hundred two million, thirty-two thousand, one hundred thirty-eight".