101124009 has 24 divisors (see below), whose sum is σ = 168222912. Its totient is φ = 57339360.

The previous prime is 101123993. The next prime is 101124017. The reversal of 101124009 is 900421101.

It is not a de Polignac number, because 101124009 - 2⁴ = 101123993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101123982 and 101124000.

It is not an unprimeable number, because it can be changed into a prime (101124019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2127 + ... + 14379.

It is an arithmetic number, because the mean of its divisors is an integer number (7009288).

Almost surely, 2^101124009 is an apocalyptic number.

It is an amenable number.

101124009 is a deficient number, since it is larger than the sum of its proper divisors (67098903).

101124009 is a wasteful number, since it uses less digits than its factorization.

101124009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12397 (or 12394 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 101124009 is about 10056.0434068276. The cubic root of 101124009 is about 465.8914705477.

It can be divided in two parts, 10112400 and 9, that multiplied together give a square (91011600 = 9540²).

The spelling of 101124009 in words is "one hundred one million, one hundred twenty-four thousand, nine".