101232120 has 128 divisors (see below), whose sum is σ = 337789440. Its totient is φ = 24061440.

The previous prime is 101232113. The next prime is 101232121. The reversal of 101232120 is 21232101.

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 = 101232096 and 101232105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232121) 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 31 ways as a sum of consecutive naturals, for example, 69237 + ... + 70683.

It is an arithmetic number, because the mean of its divisors is an integer number (2638980).

Almost surely, 2^101232120 is an apocalyptic number.

101232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168894720).

101232120 is an abundant number, since it is smaller than the sum of its proper divisors (236557320).

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

101232120 is a wasteful number, since it uses less digits than its factorization.

101232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1521 counting only the distinct ones).

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

The square root of 101232120 is about 10061.4173951785. The cubic root of 101232120 is about 466.0574385657.

Adding to 101232120 its reverse (21232101), we get a palindrome (122464221).

It can be divided in two parts, 101 and 232120, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 101232120 in words is "one hundred one million, two hundred thirty-two thousand, one hundred twenty".