2111002021120 has 72 divisors (see below), whose sum is σ = 5057491123944. Its totient is φ = 844236890112.

The previous prime is 2111002021111. The next prime is 2111002021181. The reversal of 2111002021120 is 211202001112.

It can be written as a sum of positive squares in 4 ways, for example, as 1269570069504 + 841431951616 = 1126752^2 + 917296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2111002021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6545902 + ... + 6860818.

It is an arithmetic number, because the mean of its divisors is an integer number (70242932277).

Almost surely, 2^{2111002021120} is an apocalyptic number.

2111002021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111002021120 is an abundant number, since it is smaller than the sum of its proper divisors (2946489102824).

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

2111002021120 is an equidigital number, since it uses as much as digits as its factorization.

2111002021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320175 (or 320161 counting only the distinct ones).

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

Adding to 2111002021120 its reverse (211202001112), we get a palindrome (2322204022232).

The spelling of 2111002021120 in words is "two trillion, one hundred eleven billion, two million, twenty-one thousand, one hundred twenty".