101520240000 has 160 divisors (see below), whose sum is σ = 336971853240. Its totient is φ = 27072000000.

The previous prime is 101520239927. The next prime is 101520240001. The reversal of 101520240000 is 42025101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101520240001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28500 + ... + 451500.

Almost surely, 2^101520240000 is an apocalyptic number.

101520240000 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 101520240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168485926620).

101520240000 is an abundant number, since it is smaller than the sum of its proper divisors (235451613240).

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

101520240000 is an frugal number, since it uses more digits than its factorization.

101520240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423038 (or 423011 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 101520240000 its reverse (42025101), we get a palindrome (101562265101).

The spelling of 101520240000 in words is "one hundred one billion, five hundred twenty million, two hundred forty thousand".