101243120 has 60 divisors (see below), whose sum is σ = 258759480. Its totient is φ = 36812160.

The previous prime is 101243101. The next prime is 101243159. The reversal of 101243120 is 21342101.

It is a junction number, because it is equal to n+sod(n) for n = 101243095 and 101243104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4451 + ... + 14909.

It is an arithmetic number, because the mean of its divisors is an integer number (4312658).

Almost surely, 2^101243120 is an apocalyptic number.

101243120 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 101243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129379740).

101243120 is an abundant number, since it is smaller than the sum of its proper divisors (157516360).

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

101243120 is a wasteful number, since it uses less digits than its factorization.

101243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10494 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101243120 is about 10061.9640229927. The cubic root of 101243120 is about 466.0743187356.

Adding to 101243120 its reverse (21342101), we get a palindrome (122585221).

The spelling of 101243120 in words is "one hundred one million, two hundred forty-three thousand, one hundred twenty".