101134124 has 48 divisors (see below), whose sum is σ = 219912000. Its totient is φ = 39626496.

The previous prime is 101134109. The next prime is 101134129. The reversal of 101134124 is 421431101.

It is a happy number.

It is a super-2 number, since 2×101134124² = 20456222074494752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101134129) 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 15 ways as a sum of consecutive naturals, for example, 38402 + ... + 40950.

It is an arithmetic number, because the mean of its divisors is an integer number (4581500).

Almost surely, 2^101134124 is an apocalyptic number.

101134124 is a gapful number since it is divisible by the number (14) 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 101134124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109956000).

101134124 is an abundant number, since it is smaller than the sum of its proper divisors (118777876).

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

101134124 is a wasteful number, since it uses less digits than its factorization.

101134124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101134124 is about 10056.5463256528. The cubic root of 101134124 is about 465.9070037369.

Adding to 101134124 its reverse (421431101), we get a palindrome (522565225).

The spelling of 101134124 in words is "one hundred one million, one hundred thirty-four thousand, one hundred twenty-four".