2102011012120 has 128 divisors (see below), whose sum is σ = 4839681312000. Its totient is φ = 821419476480.

The previous prime is 2102011012103. The next prime is 2102011012141. The reversal of 2102011012120 is 212101102012.

It is a self number, because there is not a number n which added to its sum of digits gives 2102011012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445056079 + ... + 445060801.

It is an arithmetic number, because the mean of its divisors is an integer number (37810010250).

Almost surely, 2^{2102011012120} is an apocalyptic number.

2102011012120 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 2102011012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419840656000).

2102011012120 is an abundant number, since it is smaller than the sum of its proper divisors (2737670299880).

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

2102011012120 is a wasteful number, since it uses less digits than its factorization.

2102011012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2102011012120 its reverse (212101102012), we get a palindrome (2314112114132).

The spelling of 2102011012120 in words is "two trillion, one hundred two billion, eleven million, twelve thousand, one hundred twenty".