101323120 has 20 divisors (see below), whose sum is σ = 235576440. Its totient is φ = 40529216.

The previous prime is 101323069. The next prime is 101323133. The reversal of 101323120 is 21323101.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×101323120³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101323120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633190 + ... + 633349.

It is an arithmetic number, because the mean of its divisors is an integer number (11778822).

Almost surely, 2^101323120 is an apocalyptic number.

101323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101323120 is an abundant number, since it is smaller than the sum of its proper divisors (134253320).

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

101323120 is a wasteful number, since it uses less digits than its factorization.

101323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266552 (or 1266546 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101323120 is about 10065.9386050184. The cubic root of 101323120 is about 466.1970468412.

Adding to 101323120 its reverse (21323101), we get a palindrome (122646221).

The spelling of 101323120 in words is "one hundred one million, three hundred twenty-three thousand, one hundred twenty".