102113041024 has 64 divisors (see below), whose sum is σ = 215539349760. Its totient is φ = 48020926464.

The previous prime is 102113040983. The next prime is 102113041061. The reversal of 102113041024 is 420140311201.

102113041024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 102113040992 and 102113041010.

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 7 ways as a sum of consecutive naturals, for example, 3394819 + ... + 3424765.

It is an arithmetic number, because the mean of its divisors is an integer number (3367802340).

Almost surely, 2^102113041024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107769674880).

102113041024 is an abundant number, since it is smaller than the sum of its proper divisors (113426308736).

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

102113041024 is a wasteful number, since it uses less digits than its factorization.

102113041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31545 (or 31533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 102113041024 its reverse (420140311201), we get a palindrome (522253352225).

The spelling of 102113041024 in words is "one hundred two billion, one hundred thirteen million, forty-one thousand, twenty-four".