2101120212120 has 128 divisors (see below), whose sum is σ = 6475641681600. Its totient is φ = 544993837056.

The previous prime is 2101120212109. The next prime is 2101120212131. The reversal of 2101120212120 is 212120211012.

It is an interprime number because it is at equal distance from previous prime (2101120212109) and next prime (2101120212131).

It is a super-3 number, since 3×2101120212120³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101120212120.

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, 15280636 + ... + 15417524.

Almost surely, 2^{2101120212120} is an apocalyptic number.

2101120212120 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 2101120212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237820840800).

2101120212120 is an abundant number, since it is smaller than the sum of its proper divisors (4374521469480).

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

2101120212120 is a wasteful number, since it uses less digits than its factorization.

2101120212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140397 (or 140393 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2101120212120 its reverse (212120211012), we get a palindrome (2313240423132).

The spelling of 2101120212120 in words is "two trillion, one hundred one billion, one hundred twenty million, two hundred twelve thousand, one hundred twenty".