101334122240 has 144 divisors (see below), whose sum is σ = 276775325568. Its totient is φ = 35214655488.

The previous prime is 101334122221. The next prime is 101334122251. The reversal of 101334122240 is 42221433101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103769 + ... + 461991.

It is an arithmetic number, because the mean of its divisors is an integer number (1922050872).

Almost surely, 2^101334122240 is an apocalyptic number.

101334122240 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 101334122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138387662784).

101334122240 is an abundant number, since it is smaller than the sum of its proper divisors (175441203328).

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

101334122240 is a wasteful number, since it uses less digits than its factorization.

101334122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358274 (or 358260 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101334122240 its reverse (42221433101), we get a palindrome (143555555341).

The spelling of 101334122240 in words is "one hundred one billion, three hundred thirty-four million, one hundred twenty-two thousand, two hundred forty".