101125478400 has 288 divisors, whose sum is σ = 351911851200. Its totient is φ = 25546752000.

The previous prime is 101125478357. The next prime is 101125478407. The reversal of 101125478400 is 4874521101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101125478407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2901075 + ... + 2935725.

It is an arithmetic number, because the mean of its divisors is an integer number (1221916150).

Almost surely, 2^101125478400 is an apocalyptic number.

101125478400 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 101125478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175955925600).

101125478400 is an abundant number, since it is smaller than the sum of its proper divisors (250786372800).

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

101125478400 is a wasteful number, since it uses less digits than its factorization.

101125478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34705 (or 34680 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

Adding to 101125478400 its reverse (4874521101), we get a palindrome (105999999501).

The spelling of 101125478400 in words is "one hundred one billion, one hundred twenty-five million, four hundred seventy-eight thousand, four hundred".