101035242 has 144 divisors (see below), whose sum is σ = 288173760. Its totient is φ = 25684560.

The previous prime is 101035237. The next prime is 101035247. The reversal of 101035242 is 242530101.

It is an interprime number because it is at equal distance from previous prime (101035237) and next prime (101035247).

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

It is not an unprimeable number, because it can be changed into a prime (101035247) 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 71 ways as a sum of consecutive naturals, for example, 2149663 + ... + 2149709.

Almost surely, 2^101035242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101035242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144086880).

101035242 is an abundant number, since it is smaller than the sum of its proper divisors (187138518).

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

101035242 is a wasteful number, since it uses less digits than its factorization.

101035242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101035242 is about 10051.6288232306. The cubic root of 101035242 is about 465.7551102667.

Adding to 101035242 its reverse (242530101), we get a palindrome (343565343).

The spelling of 101035242 in words is "one hundred one million, thirty-five thousand, two hundred forty-two".