101231042440 has 128 divisors (see below), whose sum is σ = 257537491200. Its totient is φ = 35487175680.

The previous prime is 101231042399. The next prime is 101231042467. The reversal of 101231042440 is 44240132101.

It is a happy number.

It is a super-3 number, since 3×101231042440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1745997 + ... + 1803043.

It is an arithmetic number, because the mean of its divisors is an integer number (2012011650).

Almost surely, 2^101231042440 is an apocalyptic number.

101231042440 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 101231042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128768745600).

101231042440 is an abundant number, since it is smaller than the sum of its proper divisors (156306448760).

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

101231042440 is a wasteful number, since it uses less digits than its factorization.

101231042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57215 (or 57211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101231042440 its reverse (44240132101), we get a palindrome (145471174541).

The spelling of 101231042440 in words is "one hundred one billion, two hundred thirty-one million, forty-two thousand, four hundred forty".