101422614240 has 960 divisors, whose sum is σ = 389907302400. Its totient is φ = 24765751296.

The previous prime is 101422614233. The next prime is 101422614253. The reversal of 101422614240 is 42416224101.

101422614240 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 2 + 614 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1283830521 + ... + 1283830599.

It is an arithmetic number, because the mean of its divisors is an integer number (406153440).

Almost surely, 2^101422614240 is an apocalyptic number.

101422614240 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 101422614240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194953651200).

101422614240 is an abundant number, since it is smaller than the sum of its proper divisors (288484688160).

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

101422614240 is a wasteful number, since it uses less digits than its factorization.

101422614240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101422614240 its reverse (42416224101), we get a palindrome (143838838341).

The spelling of 101422614240 in words is "one hundred one billion, four hundred twenty-two million, six hundred fourteen thousand, two hundred forty".