32102010112 has 72 divisors (see below), whose sum is σ = 69128599176. Its totient is φ = 14821687296.

The previous prime is 32102010097. The next prime is 32102010173. The reversal of 32102010112 is 21101020123.

It can be written as a sum of positive squares in 4 ways, for example, as 2978539776 + 29123470336 = 54576^2 + 170656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32102010092 and 32102010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161068 + ... + 300244.

It is an arithmetic number, because the mean of its divisors is an integer number (960119433).

Almost surely, 2^32102010112 is an apocalyptic number.

32102010112 is a gapful number since it is divisible by the number (32) 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 32102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564299588).

32102010112 is an abundant number, since it is smaller than the sum of its proper divisors (37026589064).

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

32102010112 is a wasteful number, since it uses less digits than its factorization.

32102010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139263 (or 139249 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 32102010112 its reverse (21101020123), we get a palindrome (53203030235).

The spelling of 32102010112 in words is "thirty-two billion, one hundred two million, ten thousand, one hundred twelve".