101422392800 has 144 divisors (see below), whose sum is σ = 249832447200. Its totient is φ = 40204093440.

The previous prime is 101422392793. The next prime is 101422392881. The reversal of 101422392800 is 8293224101.

It is a super-2 number, since 2×101422392800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 77836949 + ... + 77838251.

It is an arithmetic number, because the mean of its divisors is an integer number (1734947550).

Almost surely, 2^101422392800 is an apocalyptic number.

101422392800 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 101422392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124916223600).

101422392800 is an abundant number, since it is smaller than the sum of its proper divisors (148410054400).

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

101422392800 is a wasteful number, since it uses less digits than its factorization.

101422392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 101422392800 in words is "one hundred one billion, four hundred twenty-two million, three hundred ninety-two thousand, eight hundred".