101323210032 has 360 divisors, whose sum is σ = 335374762320. Its totient is φ = 28295930880.

The previous prime is 101323210031. The next prime is 101323210049. The reversal of 101323210032 is 230012323101.

101323210032 is a `hidden beast` number, since 101 + 323 + 210 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101323209987 and 101323210014.

It is not an unprimeable number, because it can be changed into a prime (101323210031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21155094 + ... + 21159882.

It is an arithmetic number, because the mean of its divisors is an integer number (931596562).

Almost surely, 2^101323210032 is an apocalyptic number.

101323210032 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 101323210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167687381160).

101323210032 is an abundant number, since it is smaller than the sum of its proper divisors (234051552288).

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

101323210032 is a wasteful number, since it uses less digits than its factorization.

101323210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4861 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101323210032 its reverse (230012323101), we get a palindrome (331335533133).

The spelling of 101323210032 in words is "one hundred one billion, three hundred twenty-three million, two hundred ten thousand, thirty-two".