100602120576 has 128 divisors (see below), whose sum is σ = 277862492160. Its totient is φ = 32214896640.

The previous prime is 100602120523. The next prime is 100602120629. The reversal of 100602120576 is 675021206001.

It is an interprime number because it is at equal distance from previous prime (100602120523) and next prime (100602120629).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600005 + ... + 1661691.

It is an arithmetic number, because the mean of its divisors is an integer number (2170800720).

Almost surely, 2^100602120576 is an apocalyptic number.

100602120576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100602120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138931246080).

100602120576 is an abundant number, since it is smaller than the sum of its proper divisors (177260371584).

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

100602120576 is a wasteful number, since it uses less digits than its factorization.

100602120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61872 (or 61860 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 100602120576 its reverse (675021206001), we get a palindrome (775623326577).

The spelling of 100602120576 in words is "one hundred billion, six hundred two million, one hundred twenty thousand, five hundred seventy-six".