101503560313200 has 240 divisors, whose sum is σ = 336944457317376. Its totient is φ = 26092540723200.

The previous prime is 101503560313187. The next prime is 101503560313229. The reversal of 101503560313200 is 2313065305101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4251859 + ... + 14868941.

Almost surely, 2^{101503560313200} is an apocalyptic number.

101503560313200 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 101503560313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168472228658688).

101503560313200 is an abundant number, since it is smaller than the sum of its proper divisors (235440897004176).

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

101503560313200 is a wasteful number, since it uses less digits than its factorization.

101503560313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10617392 (or 10617381 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 101503560313200 in words is "one hundred one trillion, five hundred three billion, five hundred sixty million, three hundred thirteen thousand, two hundred".