101165509120 has 480 divisors, whose sum is σ = 286115258880. Its totient is φ = 34159656960.

The previous prime is 101165509073. The next prime is 101165509147. The reversal of 101165509120 is 21905561101.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254824762 + ... + 254825158.

It is an arithmetic number, because the mean of its divisors is an integer number (596073456).

Almost surely, 2^101165509120 is an apocalyptic number.

101165509120 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 101165509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143057629440).

101165509120 is an abundant number, since it is smaller than the sum of its proper divisors (184949749760).

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

101165509120 is a wasteful number, since it uses less digits than its factorization.

101165509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 31.

The spelling of 101165509120 in words is "one hundred one billion, one hundred sixty-five million, five hundred nine thousand, one hundred twenty".