20200102112120 has 192 divisors, whose sum is σ = 53058438417600. Its totient is φ = 6901195499520.

The previous prime is 20200102112117. The next prime is 20200102112137. The reversal of 20200102112120 is 2121120100202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20200102112095 and 20200102112104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671330036 + ... + 671360124.

It is an arithmetic number, because the mean of its divisors is an integer number (276346033425).

Almost surely, 2^{20200102112120} is an apocalyptic number.

20200102112120 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 20200102112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26529219208800).

20200102112120 is an abundant number, since it is smaller than the sum of its proper divisors (32858336305480).

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

20200102112120 is a wasteful number, since it uses less digits than its factorization.

20200102112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31318 (or 31307 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20200102112120 its reverse (2121120100202), we get a palindrome (22321222212322).

The spelling of 20200102112120 in words is "twenty trillion, two hundred billion, one hundred two million, one hundred twelve thousand, one hundred twenty".