101501142400 has 384 divisors, whose sum is σ = 297383823360. Its totient is φ = 33498316800.

The previous prime is 101501142389. The next prime is 101501142401. The reversal of 101501142400 is 4241105101.

101501142400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101501142401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217346967 + ... + 217347433.

It is an arithmetic number, because the mean of its divisors is an integer number (774437040).

Almost surely, 2^101501142400 is an apocalyptic number.

101501142400 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 101501142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148691911680).

101501142400 is an abundant number, since it is smaller than the sum of its proper divisors (195882680960).

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

101501142400 is a wasteful number, since it uses less digits than its factorization.

101501142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 101501142400 its reverse (4241105101), we get a palindrome (105742247501).

The spelling of 101501142400 in words is "one hundred one billion, five hundred one million, one hundred forty-two thousand, four hundred".