101093428800 has 1512 divisors, whose sum is σ = 458742263616. Its totient is φ = 20925112320.

The previous prime is 101093428781. The next prime is 101093428823. The reversal of 101093428800 is 8824390101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 944798347 + ... + 944798453.

It is an arithmetic number, because the mean of its divisors is an integer number (303400968).

Almost surely, 2^101093428800 is an apocalyptic number.

101093428800 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 101093428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229371131808).

101093428800 is an abundant number, since it is smaller than the sum of its proper divisors (357648834816).

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

101093428800 is a wasteful number, since it uses less digits than its factorization.

101093428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 101093428800 in words is "one hundred one billion, ninety-three million, four hundred twenty-eight thousand, eight hundred".