2101129282560 has 528 divisors, whose sum is σ = 8528245462080. Its totient is φ = 436596572160.

The previous prime is 2101129282529. The next prime is 2101129282583. The reversal of 2101129282560 is 652829211012.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×2101129282560² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8152146 + ... + 8405934.

Almost surely, 2^{2101129282560} is an apocalyptic number.

2101129282560 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 2101129282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264122731040).

2101129282560 is an abundant number, since it is smaller than the sum of its proper divisors (6427116179520).

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

2101129282560 is a wasteful number, since it uses less digits than its factorization.

2101129282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253842 (or 253817 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 2101129282560 in words is "two trillion, one hundred one billion, one hundred twenty-nine million, two hundred eighty-two thousand, five hundred sixty".