101130480000 has 720 divisors, whose sum is σ = 400251362940. Its totient is φ = 24299520000.

The previous prime is 101130479987. The next prime is 101130480049. The reversal of 101130480000 is 84031101.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 894959944 + ... + 894960056.

Almost surely, 2^101130480000 is an apocalyptic number.

101130480000 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 101130480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200125681470).

101130480000 is an abundant number, since it is smaller than the sum of its proper divisors (299120882940).

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

101130480000 is an equidigital number, since it uses as much as digits as its factorization.

101130480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 101130480000 in words is "one hundred one billion, one hundred thirty million, four hundred eighty thousand".