2102111424 has 84 divisors (see below), whose sum is σ = 6886096464. Its totient is φ = 600602112.

The previous prime is 2102111393. The next prime is 2102111437. The reversal of 2102111424 is 4241112012.

2102111424 is a `hidden beast` number, since 210 + 21 + 11 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×2102111424² = 8837744877822615552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102111397 and 2102111406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256647 + ... + 264710.

Almost surely, 2^2102111424 is an apocalyptic number.

2102111424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2102111424 is an abundant number, since it is smaller than the sum of its proper divisors (4783985040).

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

2102111424 is a wasteful number, since it uses less digits than its factorization.

2102111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521382 (or 521369 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2102111424 is about 45848.7886862892. The cubic root of 2102111424 is about 1281.0082030675.

Adding to 2102111424 its reverse (4241112012), we get a palindrome (6343223436).

It can be divided in two parts, 2102 and 111424, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 2102111424 in words is "two billion, one hundred two million, one hundred eleven thousand, four hundred twenty-four".