2120210111120 has 20 divisors (see below), whose sum is σ = 4929488508540. Its totient is φ = 848084044416.

The previous prime is 2120210111113. The next prime is 2120210111197. The reversal of 2120210111120 is 211110120212.

It can be written as a sum of positive squares in 2 ways, for example, as 1060636336384 + 1059573774736 = 1029872^2 + 1029356^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2120210111095 and 2120210111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13251313115 + ... + 13251313274.

It is an arithmetic number, because the mean of its divisors is an integer number (246474425427).

Almost surely, 2^{2120210111120} is an apocalyptic number.

2120210111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120210111120 is an abundant number, since it is smaller than the sum of its proper divisors (2809278397420).

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

2120210111120 is a wasteful number, since it uses less digits than its factorization.

2120210111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26502626402 (or 26502626396 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2120210111120 its reverse (211110120212), we get a palindrome (2331320231332).

The spelling of 2120210111120 in words is "two trillion, one hundred twenty billion, two hundred ten million, one hundred eleven thousand, one hundred twenty".