101130142040340 has 384 divisors, whose sum is σ = 334980721152000. Its totient is φ = 22317182705664.

The previous prime is 101130142040339. The next prime is 101130142040377. The reversal of 101130142040340 is 43040241031101.

It is a self number, because there is not a number n which added to its sum of digits gives 101130142040340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 824756956 + ... + 824879564.

It is an arithmetic number, because the mean of its divisors is an integer number (872345628000).

Almost surely, 2^{101130142040340} is an apocalyptic number.

101130142040340 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 101130142040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167490360576000).

101130142040340 is an abundant number, since it is smaller than the sum of its proper divisors (233850579111660).

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

101130142040340 is a wasteful number, since it uses less digits than its factorization.

101130142040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123199 (or 123197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101130142040340 its reverse (43040241031101), we get a palindrome (144170383071441).

The spelling of 101130142040340 in words is "one hundred one trillion, one hundred thirty billion, one hundred forty-two million, forty thousand, three hundred forty".