101322120 has 32 divisors (see below), whose sum is σ = 303966720. Its totient is φ = 27019200.

The previous prime is 101322113. The next prime is 101322163. The reversal of 101322120 is 21223101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101322096 and 101322105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422056 + ... + 422295.

It is an arithmetic number, because the mean of its divisors is an integer number (9498960).

Almost surely, 2^101322120 is an apocalyptic number.

101322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322120 is an abundant number, since it is smaller than the sum of its proper divisors (202644600).

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

101322120 is a wasteful number, since it uses less digits than its factorization.

101322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844365 (or 844361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101322120 is about 10065.8889324292. Note that the first 3 decimals coincide. The cubic root of 101322120 is about 466.1955131387.

Adding to 101322120 its reverse (21223101), we get a palindrome (122545221).

The spelling of 101322120 in words is "one hundred one million, three hundred twenty-two thousand, one hundred twenty".