102010104042 has 96 divisors (see below), whose sum is σ = 259070581440. Its totient is φ = 26479192320.

The previous prime is 102010104037. The next prime is 102010104061. The reversal of 102010104042 is 240401010201.

It is a super-4 number, since 4×102010104042⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5517678 + ... + 5536134.

It is an arithmetic number, because the mean of its divisors is an integer number (2698651890).

Almost surely, 2^102010104042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010104042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129535290720).

102010104042 is an abundant number, since it is smaller than the sum of its proper divisors (157060477398).

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

102010104042 is a wasteful number, since it uses less digits than its factorization.

102010104042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20196 (or 20189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102010104042 its reverse (240401010201), we get a palindrome (342411114243).

The spelling of 102010104042 in words is "one hundred two billion, ten million, one hundred four thousand, forty-two".