10102200002180 has 96 divisors (see below), whose sum is σ = 24930695317248. Its totient is φ = 3389965171200.

The previous prime is 10102200002179. The next prime is 10102200002203. The reversal of 10102200002180 is 8120000220101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9388169 + ... + 10408751.

It is an arithmetic number, because the mean of its divisors is an integer number (259694742888).

Almost surely, 2^{10102200002180} is an apocalyptic number.

10102200002180 is a gapful number since it is divisible by the number (10) 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 10102200002180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12465347658624).

10102200002180 is an abundant number, since it is smaller than the sum of its proper divisors (14828495315068).

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

10102200002180 is a wasteful number, since it uses less digits than its factorization.

10102200002180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024077 (or 1024075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10102200002180 its reverse (8120000220101), we get a palindrome (18222200222281).

The spelling of 10102200002180 in words is "ten trillion, one hundred two billion, two hundred million, two thousand, one hundred eighty".