101032312332 has 384 divisors, whose sum is σ = 302154209280. Its totient is φ = 25619742720.

The previous prime is 101032312327. The next prime is 101032312357. The reversal of 101032312332 is 233213230101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101032312299 and 101032312308.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 305233407 + ... + 305233737.

It is an arithmetic number, because the mean of its divisors is an integer number (786859920).

Almost surely, 2^101032312332 is an apocalyptic number.

101032312332 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 101032312332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151077104640).

101032312332 is an abundant number, since it is smaller than the sum of its proper divisors (201121896948).

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

101032312332 is a wasteful number, since it uses less digits than its factorization.

101032312332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101032312332 its reverse (233213230101), we get a palindrome (334245542433).

The spelling of 101032312332 in words is "one hundred one billion, thirty-two million, three hundred twelve thousand, three hundred thirty-two".