2110201200120 has 256 divisors, whose sum is σ = 7222143358080. Its totient is φ = 488639692800.

The previous prime is 2110201200113. The next prime is 2110201200157. The reversal of 2110201200120 is 210021020112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2110201200096 and 2110201200105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57291310 + ... + 57328130.

Almost surely, 2^{2110201200120} is an apocalyptic number.

2110201200120 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 2110201200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611071679040).

2110201200120 is an abundant number, since it is smaller than the sum of its proper divisors (5111942157960).

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

2110201200120 is a wasteful number, since it uses less digits than its factorization.

2110201200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39026 (or 39022 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2110201200120 its reverse (210021020112), we get a palindrome (2320222220232).

The spelling of 2110201200120 in words is "two trillion, one hundred ten billion, two hundred one million, two hundred thousand, one hundred twenty".