101125680000 has 640 divisors, whose sum is σ = 353316902400. Its totient is φ = 25589760000.

The previous prime is 101125679999. The next prime is 101125680001. The reversal of 101125680000 is 86521101.

It is an interprime number because it is at equal distance from previous prime (101125679999) and next prime (101125680001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101125680001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 423119881 + ... + 423120119.

It is an arithmetic number, because the mean of its divisors is an integer number (552057660).

Almost surely, 2^101125680000 is an apocalyptic number.

101125680000 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 101125680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176658451200).

101125680000 is an abundant number, since it is smaller than the sum of its proper divisors (252191222400).

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

101125680000 is an equidigital number, since it uses as much as digits as its factorization.

101125680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 101125680000 in words is "one hundred one billion, one hundred twenty-five million, six hundred eighty thousand".