2169125828100 has 864 divisors, whose sum is σ = 8698133283840. Its totient is φ = 439012224000.

The previous prime is 2169125828087. The next prime is 2169125828137. The reversal of 2169125828100 is 18285219612.

2169125828100 is a `hidden beast` number, since 2 + 1 + 69 + 1 + 2 + 582 + 8 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×2169125828100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1373733111 + ... + 1373734689.

Almost surely, 2^{2169125828100} is an apocalyptic number.

2169125828100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2169125828100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349066641920).

2169125828100 is an abundant number, since it is smaller than the sum of its proper divisors (6529007455740).

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

2169125828100 is a wasteful number, since it uses less digits than its factorization.

2169125828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 2169125828100 in words is "two trillion, one hundred sixty-nine billion, one hundred twenty-five million, eight hundred twenty-eight thousand, one hundred".