101342124 has 192 divisors, whose sum is σ = 310464000. Its totient is φ = 28304640.

The previous prime is 101342089. The next prime is 101342147. The reversal of 101342124 is 421243101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101342097 and 101342106.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 773539 + ... + 773669.

It is an arithmetic number, because the mean of its divisors is an integer number (1617000).

Almost surely, 2^101342124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232000).

101342124 is an abundant number, since it is smaller than the sum of its proper divisors (209121876).

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

101342124 is a wasteful number, since it uses less digits than its factorization.

101342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101342124 is about 10066.8825363168. The cubic root of 101342124 is about 466.2261914065.

Adding to 101342124 its reverse (421243101), we get a palindrome (522585225).

It can be divided in two parts, 101 and 342124, that added together give a square (342225 = 585²).

The spelling of 101342124 in words is "one hundred one million, three hundred forty-two thousand, one hundred twenty-four".