101017225332 has 96 divisors (see below), whose sum is σ = 273602703360. Its totient is φ = 32193508320.

The previous prime is 101017225241. The next prime is 101017225367. The reversal of 101017225332 is 233522710101.

101017225332 is a `hidden beast` number, since 1 + 0 + 101 + 7 + 22 + 533 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101017225296 and 101017225305.

It is a congruent number.

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, 96123 + ... + 459645.

It is an arithmetic number, because the mean of its divisors is an integer number (2850028160).

Almost surely, 2^101017225332 is an apocalyptic number.

101017225332 is a gapful number since it is divisible by the number (12) 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 101017225332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136801351680).

101017225332 is an abundant number, since it is smaller than the sum of its proper divisors (172585478028).

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

101017225332 is a wasteful number, since it uses less digits than its factorization.

101017225332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363650 (or 363642 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 101017225332 its reverse (233522710101), we get a palindrome (334539935433).

The spelling of 101017225332 in words is "one hundred one billion, seventeen million, two hundred twenty-five thousand, three hundred thirty-two".