101016132 has 48 divisors (see below), whose sum is σ = 271918080. Its totient is φ = 28589472.

The previous prime is 101016109. The next prime is 101016151. The reversal of 101016132 is 231610101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369 + ... + 14607.

It is an arithmetic number, because the mean of its divisors is an integer number (5664960).

Almost surely, 2^101016132 is an apocalyptic number.

101016132 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 101016132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135959040).

101016132 is an abundant number, since it is smaller than the sum of its proper divisors (170901948).

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

101016132 is a wasteful number, since it uses less digits than its factorization.

101016132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101016132 is about 10050.6781860728. The cubic root of 101016132 is about 465.7257438094.

Adding to 101016132 its reverse (231610101), we get a palindrome (332626233).

The spelling of 101016132 in words is "one hundred one million, sixteen thousand, one hundred thirty-two".