2102120 has 16 divisors (see below), whose sum is σ = 4729860. Its totient is φ = 840832.

The previous prime is 2102117. The next prime is 2102137. The reversal of 2102120 is 212012.

It can be written as a sum of positive squares in 2 ways, for example, as 2033476 + 68644 = 1426^2 + 262^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2102098 and 2102107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26237 + ... + 26316.

2^2102120 is an apocalyptic number.

2102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102120 is an abundant number, since it is smaller than the sum of its proper divisors (2627740).

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

2102120 is a wasteful number, since it uses less digits than its factorization.

2102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52564 (or 52560 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2102120 is about 1449.8689595960. The cubic root of 2102120 is about 128.1009945111.

Adding to 2102120 its reverse (212012), we get a palindrome (2314132).

It can be divided in two parts, 2102 and 120, that added together give a palindrome (2222).

The spelling of 2102120 in words is "two million, one hundred two thousand, one hundred twenty".