101532125054514 has 128 divisors (see below), whose sum is σ = 259030384588800. Its totient is φ = 26301275985600.

The previous prime is 101532125054497. The next prime is 101532125054573. The reversal of 101532125054514 is 415450521235101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2431869 + ... + 14456079.

It is an arithmetic number, because the mean of its divisors is an integer number (2023674879600).

Almost surely, 2^{101532125054514} is an apocalyptic number.

101532125054514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101532125054514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129515192294400).

101532125054514 is an abundant number, since it is smaller than the sum of its proper divisors (157498259534286).

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

101532125054514 is a wasteful number, since it uses less digits than its factorization.

101532125054514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024621 (or 12024607 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

Adding to 101532125054514 its reverse (415450521235101), we get a palindrome (516982646289615).

The spelling of 101532125054514 in words is "one hundred one trillion, five hundred thirty-two billion, one hundred twenty-five million, fifty-four thousand, five hundred fourteen".