101130440240 has 80 divisors (see below), whose sum is σ = 243364646880. Its totient is φ = 39036641280.

The previous prime is 101130440137. The next prime is 101130440273. The reversal of 101130440240 is 42044031101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101130440240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 4817447 + ... + 4838393.

It is an arithmetic number, because the mean of its divisors is an integer number (3042058086).

Almost surely, 2^101130440240 is an apocalyptic number.

101130440240 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 101130440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121682323440).

101130440240 is an abundant number, since it is smaller than the sum of its proper divisors (142234206640).

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

101130440240 is a wasteful number, since it uses less digits than its factorization.

101130440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23070 (or 23064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101130440240 its reverse (42044031101), we get a palindrome (143174471341).

The spelling of 101130440240 in words is "one hundred one billion, one hundred thirty million, four hundred forty thousand, two hundred forty".