2120020385100 has 288 divisors, whose sum is σ = 6373458739200. Its totient is φ = 543790368000.

The previous prime is 2120020385099. The next prime is 2120020385107. The reversal of 2120020385100 is 15830200212.

It is a super-3 number, since 3×2120020385100³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120020385107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179064981 + ... + 179076819.

Almost surely, 2^{2120020385100} is an apocalyptic number.

2120020385100 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 2120020385100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186729369600).

2120020385100 is an abundant number, since it is smaller than the sum of its proper divisors (4253438354100).

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

2120020385100 is a wasteful number, since it uses less digits than its factorization.

2120020385100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 2120020385100 its reverse (15830200212), we get a palindrome (2135850585312).

The spelling of 2120020385100 in words is "two trillion, one hundred twenty billion, twenty million, three hundred eighty-five thousand, one hundred".