20102115803400 has 576 divisors, whose sum is σ = 73270673658000. Its totient is φ = 4919058432000.

The previous prime is 20102115803369. The next prime is 20102115803453. The reversal of 20102115803400 is 430851120102.

20102115803400 is a `hidden beast` number, since 2 + 0 + 102 + 1 + 158 + 0 + 3 + 400 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 504335747556 + 19597780055844 = 710166^2 + 4426938^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2445211290 + ... + 2445219510.

Almost surely, 2^{20102115803400} is an apocalyptic number.

20102115803400 is a gapful number since it is divisible by the number (20) 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 20102115803400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36635336829000).

20102115803400 is an abundant number, since it is smaller than the sum of its proper divisors (53168557854600).

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

20102115803400 is a wasteful number, since it uses less digits than its factorization.

20102115803400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 20102115803400 its reverse (430851120102), we get a palindrome (20532966923502).

The spelling of 20102115803400 in words is "twenty trillion, one hundred two billion, one hundred fifteen million, eight hundred three thousand, four hundred".