101301504000 has 384 divisors, whose sum is σ = 356921510400. Its totient is φ = 25421414400.

The previous prime is 101301503977. The next prime is 101301504041. The reversal of 101301504000 is 405103101.

101301504000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13052121 + ... + 13059879.

It is an arithmetic number, because the mean of its divisors is an integer number (929483100).

Almost surely, 2^101301504000 is an apocalyptic number.

101301504000 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 101301504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178460755200).

101301504000 is an abundant number, since it is smaller than the sum of its proper divisors (255620006400).

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

101301504000 is an equidigital number, since it uses as much as digits as its factorization.

101301504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 101301504000 its reverse (405103101), we get a palindrome (101706607101).

The spelling of 101301504000 in words is "one hundred one billion, three hundred one million, five hundred four thousand".