101241341000 has 128 divisors (see below), whose sum is σ = 256960136160. Its totient is φ = 37184512000.

The previous prime is 101241340987. The next prime is 101241341011. The reversal of 101241341000 is 143142101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 18399837316 + 82841503684 = 135646^2 + 287822^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101241341000.

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, 624374 + ... + 769626.

Almost surely, 2^101241341000 is an apocalyptic number.

101241341000 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 101241341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128480068080).

101241341000 is an abundant number, since it is smaller than the sum of its proper divisors (155718795160).

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

101241341000 is a wasteful number, since it uses less digits than its factorization.

101241341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145332 (or 145318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101241341000 its reverse (143142101), we get a palindrome (101384483101).

The spelling of 101241341000 in words is "one hundred one billion, two hundred forty-one million, three hundred forty-one thousand".