101132414112240 has 1280 divisors, whose sum is σ = 433286267904000. Its totient is φ = 21185874984960.

The previous prime is 101132414112157. The next prime is 101132414112251. The reversal of 101132414112240 is 42211414231101.

101132414112240 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 2 + 4 + 1 + 411 + 2 + 240 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 665098141 + ... + 665250179.

It is an arithmetic number, because the mean of its divisors is an integer number (338504896800).

Almost surely, 2^{101132414112240} is an apocalyptic number.

101132414112240 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 101132414112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216643133952000).

101132414112240 is an abundant number, since it is smaller than the sum of its proper divisors (332153853791760).

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

101132414112240 is a wasteful number, since it uses less digits than its factorization.

101132414112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152175 (or 152163 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 101132414112240 its reverse (42211414231101), we get a palindrome (143343828343341).

The spelling of 101132414112240 in words is "one hundred one trillion, one hundred thirty-two billion, four hundred fourteen million, one hundred twelve thousand, two hundred forty".