101141242321240 has 256 divisors, whose sum is σ = 266565551616000. Its totient is φ = 34175022336000.

The previous prime is 101141242321117. The next prime is 101141242321241. The reversal of 101141242321240 is 42123242141101.

It is a junction number, because it is equal to n+sod(n) for n = 101141242321199 and 101141242321208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141242321241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70890031 + ... + 72302689.

It is an arithmetic number, because the mean of its divisors is an integer number (1041271686000).

Almost surely, 2^{101141242321240} is an apocalyptic number.

101141242321240 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 101141242321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133282775808000).

101141242321240 is an abundant number, since it is smaller than the sum of its proper divisors (165424309294760).

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

101141242321240 is a wasteful number, since it uses less digits than its factorization.

101141242321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412922 (or 1412918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 101141242321240 its reverse (42123242141101), we get a palindrome (143264484462341).

The spelling of 101141242321240 in words is "one hundred one trillion, one hundred forty-one billion, two hundred forty-two million, three hundred twenty-one thousand, two hundred forty".