101452315200 has 168 divisors, whose sum is σ = 333168845472. Its totient is φ = 27027886080.

The previous prime is 101452315177. The next prime is 101452315259. The reversal of 101452315200 is 2513254101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5255967 + ... + 5275233.

Almost surely, 2^101452315200 is an apocalyptic number.

101452315200 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 101452315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166584422736).

101452315200 is an abundant number, since it is smaller than the sum of its proper divisors (231716530272).

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

101452315200 is a wasteful number, since it uses less digits than its factorization.

101452315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20389 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 101452315200 its reverse (2513254101), we get a palindrome (103965569301).

The spelling of 101452315200 in words is "one hundred one billion, four hundred fifty-two million, three hundred fifteen thousand, two hundred".