2102333101120 has 224 divisors, whose sum is σ = 5760360677376. Its totient is φ = 715902105600.

The previous prime is 2102333101109. The next prime is 2102333101151. The reversal of 2102333101120 is 211013332012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2102333101120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200925009 + ... + 200935471.

Almost surely, 2^{2102333101120} is an apocalyptic number.

2102333101120 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 2102333101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880180338688).

2102333101120 is an abundant number, since it is smaller than the sum of its proper divisors (3658027576256).

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

2102333101120 is a wasteful number, since it uses less digits than its factorization.

2102333101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11089 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2102333101120 its reverse (211013332012), we get a palindrome (2313346433132).

The spelling of 2102333101120 in words is "two trillion, one hundred two billion, three hundred thirty-three million, one hundred one thousand, one hundred twenty".