100121220110208 has 64 divisors (see below), whose sum is σ = 290123990104320. Its totient is φ = 30339763668480.

The previous prime is 100121220110207. The next prime is 100121220110209. The reversal of 100121220110208 is 802011022121001.

It is an interprime number because it is at equal distance from previous prime (100121220110207) and next prime (100121220110209).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121220110207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11851465960 + ... + 11851474407.

It is an arithmetic number, because the mean of its divisors is an integer number (4533187345380).

Almost surely, 2^{100121220110208} is an apocalyptic number.

It is an amenable number.

100121220110208 is an abundant number, since it is smaller than the sum of its proper divisors (190002769994112).

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

100121220110208 is a wasteful number, since it uses less digits than its factorization.

100121220110208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23702940395 (or 23702940383 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 100121220110208 its reverse (802011022121001), we get a palindrome (902132242231209).

The spelling of 100121220110208 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, two hundred eight".