101133252 has 144 divisors (see below), whose sum is σ = 294940800. Its totient is φ = 29937600.

The previous prime is 101133239. The next prime is 101133271. The reversal of 101133252 is 252331101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927774 + ... + 927882.

It is an arithmetic number, because the mean of its divisors is an integer number (2048200).

Almost surely, 2^101133252 is an apocalyptic number.

101133252 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 101133252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147470400).

101133252 is an abundant number, since it is smaller than the sum of its proper divisors (193807548).

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

101133252 is a wasteful number, since it uses less digits than its factorization.

101133252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101133252 is about 10056.5029707150. The cubic root of 101133252 is about 465.9056646832.

Adding to 101133252 its reverse (252331101), we get a palindrome (353464353).

The spelling of 101133252 in words is "one hundred one million, one hundred thirty-three thousand, two hundred fifty-two".