20200120404100 has 288 divisors, whose sum is σ = 54171807782400. Its totient is φ = 6366744944640.

The previous prime is 20200120404083. The next prime is 20200120404173. The reversal of 20200120404100 is 140402100202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3741453201 + ... + 3741458599.

It is an arithmetic number, because the mean of its divisors is an integer number (188096554800).

Almost surely, 2^{20200120404100} is an apocalyptic number.

20200120404100 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 20200120404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27085903891200).

20200120404100 is an abundant number, since it is smaller than the sum of its proper divisors (33971687378300).

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

20200120404100 is a wasteful number, since it uses less digits than its factorization.

20200120404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7040 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20200120404100 its reverse (140402100202), we get a palindrome (20340522504302).

The spelling of 20200120404100 in words is "twenty trillion, two hundred billion, one hundred twenty million, four hundred four thousand, one hundred".