20150071180100 has 18 divisors (see below), whose sum is σ = 43725654461034. Its totient is φ = 8060028472000.

The previous prime is 20150071180093. The next prime is 20150071180103. The reversal of 20150071180100 is 108117005102.

It can be written as a sum of positive squares in 3 ways, for example, as 45536999236 + 20104534180864 = 213394^2 + 4483808^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20150071180100.

It is not an unprimeable number, because it can be changed into a prime (20150071180103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100750355801 + ... + 100750356000.

It is an arithmetic number, because the mean of its divisors is an integer number (2429203025613).

Almost surely, 2^{20150071180100} is an apocalyptic number.

20150071180100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20150071180100 is an abundant number, since it is smaller than the sum of its proper divisors (23575583280934).

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

20150071180100 is a wasteful number, since it uses less digits than its factorization.

20150071180100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201500711815 (or 201500711808 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 26.

Adding to 20150071180100 its reverse (108117005102), we get a palindrome (20258188185202).

The spelling of 20150071180100 in words is "twenty trillion, one hundred fifty billion, seventy-one million, one hundred eighty thousand, one hundred".