100138122 has 72 divisors (see below), whose sum is σ = 256527648. Its totient is φ = 27654480.

The previous prime is 100138097. The next prime is 100138123. The reversal of 100138122 is 221831001.

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 = 100138095 and 100138104.

It is not an unprimeable number, because it can be changed into a prime (100138123) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120673 + ... + 121499.

It is an arithmetic number, because the mean of its divisors is an integer number (3562884).

Almost surely, 2^100138122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100138122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128263824).

100138122 is an abundant number, since it is smaller than the sum of its proper divisors (156389526).

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

100138122 is a wasteful number, since it uses less digits than its factorization.

100138122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 100138122 is about 10006.9037169346. The cubic root of 100138122 is about 464.3724868912.

Adding to 100138122 its reverse (221831001), we get a palindrome (321969123).

The spelling of 100138122 in words is "one hundred million, one hundred thirty-eight thousand, one hundred twenty-two".