100121208 has 96 divisors (see below), whose sum is σ = 287280000. Its totient is φ = 29001280.

The previous prime is 100121201. The next prime is 100121213. The reversal of 100121208 is 802121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121201) 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, 66043 + ... + 67541.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2^100121208 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 100121208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640000).

100121208 is an abundant number, since it is smaller than the sum of its proper divisors (187158792).

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

100121208 is a wasteful number, since it uses less digits than its factorization.

100121208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 100121208 is about 10006.0585646897. The cubic root of 100121208 is about 464.3463402105.

Adding to 100121208 its reverse (802121001), we get a palindrome (902242209).

The spelling of 100121208 in words is "one hundred million, one hundred twenty-one thousand, two hundred eight".