101321442 has 40 divisors (see below), whose sum is σ = 227866716. Its totient is φ = 33650208.

The previous prime is 101321431. The next prime is 101321443. The reversal of 101321442 is 244123101.

It can be written as a sum of positive squares in 2 ways, for example, as 84107241 + 17214201 = 9171^2 + 4149^2 .

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 (101321443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50368 + ... + 52340.

Almost surely, 2^101321442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101321442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113933358).

101321442 is an abundant number, since it is smaller than the sum of its proper divisors (126545274).

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

101321442 is a wasteful number, since it uses less digits than its factorization.

101321442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101321442 is about 10065.8552542742. The cubic root of 101321442 is about 466.1944732826.

Adding to 101321442 its reverse (244123101), we get a palindrome (345444543).

The spelling of 101321442 in words is "one hundred one million, three hundred twenty-one thousand, four hundred forty-two".