101100252 has 48 divisors (see below), whose sum is σ = 258273792. Its totient is φ = 30526080.

The previous prime is 101100229. The next prime is 101100257. The reversal of 101100252 is 252001101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40093 + ... + 42539.

It is an arithmetic number, because the mean of its divisors is an integer number (5380704).

Almost surely, 2^101100252 is an apocalyptic number.

101100252 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 101100252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129136896).

101100252 is an abundant number, since it is smaller than the sum of its proper divisors (157173540).

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

101100252 is a wasteful number, since it uses less digits than its factorization.

101100252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101100252 is about 10054.8621074583. The cubic root of 101100252 is about 465.8549838266.

Adding to 101100252 its reverse (252001101), we get a palindrome (353101353).

The spelling of 101100252 in words is "one hundred one million, one hundred thousand, two hundred fifty-two".