101002132 has 72 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 38787840.

The previous prime is 101002129. The next prime is 101002169. The reversal of 101002132 is 231200101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170028 + ... + 170620.

It is an arithmetic number, because the mean of its divisors is an integer number (3160080).

Almost surely, 2^101002132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

101002132 is an abundant number, since it is smaller than the sum of its proper divisors (126523628).

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

101002132 is a wasteful number, since it uses less digits than its factorization.

101002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101002132 is about 10049.9816915256. The cubic root of 101002132 is about 465.7042275706.

Adding to 101002132 its reverse (231200101), we get a palindrome (332202233).

The spelling of 101002132 in words is "one hundred one million, two thousand, one hundred thirty-two".