101542112800 has 144 divisors (see below), whose sum is σ = 255152419200. Its totient is φ = 39443788800.

The previous prime is 101542112797. The next prime is 101542112821. The reversal of 101542112800 is 8211245101.

101542112800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3842031 + ... + 3868369.

It is an arithmetic number, because the mean of its divisors is an integer number (1771891800).

Almost surely, 2^101542112800 is an apocalyptic number.

101542112800 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 101542112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127576209600).

101542112800 is an abundant number, since it is smaller than the sum of its proper divisors (153610306400).

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

101542112800 is a wasteful number, since it uses less digits than its factorization.

101542112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26499 (or 26486 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

Adding to 101542112800 its reverse (8211245101), we get a palindrome (109753357901).

The spelling of 101542112800 in words is "one hundred one billion, five hundred forty-two million, one hundred twelve thousand, eight hundred".