100121121221 has 8 divisors (see below), whose sum is σ = 113971869504. Its totient is φ = 87061844320.

The previous prime is 100121121193. The next prime is 100121121229. The reversal of 100121121221 is 122121121001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100121121221 - 2⁶ = 100121121157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121121196 and 100121121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121121229) 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, 197867576 + ... + 197868081.

It is an arithmetic number, because the mean of its divisors is an integer number (14246483688).

Almost surely, 2^100121121221 is an apocalyptic number.

100121121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121121221 is a deficient number, since it is larger than the sum of its proper divisors (13850748283).

100121121221 is a wasteful number, since it uses less digits than its factorization.

100121121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395735691.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100121121221 its reverse (122121121001), we get a palindrome (222242242222).

The spelling of 100121121221 in words is "one hundred billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty-one".