101322 has 24 divisors (see below), whose sum is σ = 236964. Its totient is φ = 31104.

The previous prime is 101293. The next prime is 101323. The reversal of 101322 is 223101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84681 + 16641 = 291^2 + 129^2 .

It is a super-2 number, since 2×101322² = 20532295368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18 + ... + 450.

2¹⁰¹³²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118482).

101322 is an abundant number, since it is smaller than the sum of its proper divisors (135642).

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

101322 is a wasteful number, since it uses less digits than its factorization.

101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101322 is about 318.3111685128. The cubic root of 101322 is about 46.6195329094.

Adding to 101322 its reverse (223101), we get a palindrome (324423).

It can be divided in two parts, 1013 and 22, that added together give a triangular number (1035 = T₄₅).

The spelling of 101322 in words is "one hundred one thousand, three hundred twenty-two", and thus it is an iban number.