10101129825600 has 2016 divisors, whose sum is σ = 42345439718400. Its totient is φ = 2260058112000.

The previous prime is 10101129825581. The next prime is 10101129825641. The reversal of 10101129825600 is 652892110101.

10101129825600 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 1 + 2 + 98 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 9629293876 + ... + 9629294924.

It is an arithmetic number, because the mean of its divisors is an integer number (21004682400).

Almost surely, 2^{10101129825600} is an apocalyptic number.

10101129825600 is a gapful number since it is divisible by the number (10) 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 10101129825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21172719859200).

10101129825600 is an abundant number, since it is smaller than the sum of its proper divisors (32244309892800).

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

10101129825600 is a wasteful number, since it uses less digits than its factorization.

10101129825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 10101129825600 in words is "ten trillion, one hundred one billion, one hundred twenty-nine million, eight hundred twenty-five thousand, six hundred".