101305332252 has 72 divisors (see below), whose sum is σ = 258191388000. Its totient is φ = 33490587648.

The previous prime is 101305332199. The next prime is 101305332259. The reversal of 101305332252 is 252233503101.

It is a happy number.

101305332252 is a `hidden beast` number, since 1 + 0 + 1 + 305 + 332 + 25 + 2 = 666.

It is a super-2 number, since 2×101305332252² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305332259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2680624 + ... + 2718152.

It is an arithmetic number, because the mean of its divisors is an integer number (3585991500).

Almost surely, 2^101305332252 is an apocalyptic number.

101305332252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101305332252 is an abundant number, since it is smaller than the sum of its proper divisors (156886055748).

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

101305332252 is a wasteful number, since it uses less digits than its factorization.

101305332252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38155 (or 38150 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 101305332252 its reverse (252233503101), we get a palindrome (353538835353).

The spelling of 101305332252 in words is "one hundred one billion, three hundred five million, three hundred thirty-two thousand, two hundred fifty-two".