2100128469124 has 81 divisors (see below), whose sum is σ = 4542286773423. Its totient is φ = 846971521536.

The previous prime is 2100128469113. The next prime is 2100128469223. The reversal of 2100128469124 is 4219648210012.

The square root of 2100128469124 is 1449182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40576900 + 2100087892224 = 6370^2 + 1449168^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 26 ways as a sum of consecutive naturals, for example, 344902272 + ... + 344908360.

Almost surely, 2^{2100128469124} is an apocalyptic number.

2100128469124 is the 1449182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100128469124

2100128469124 is an abundant number, since it is smaller than the sum of its proper divisors (2442158304299).

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

2100128469124 is an frugal number, since it uses more digits than its factorization.

2100128469124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12230 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 2100128469124 in words is "two trillion, one hundred billion, one hundred twenty-eight million, four hundred sixty-nine thousand, one hundred twenty-four".