100121112221 has 4 divisors (see below), whose sum is σ = 107822736252. Its totient is φ = 92419488192.

The previous prime is 100121112193. The next prime is 100121112271. The reversal of 100121112221 is 122211121001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 122211121001 = 325543 ⋅375407.

It can be written as a sum of positive squares in 2 ways, for example, as 26240436121 + 73880676100 = 161989^2 + 271810^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121112221 - 2¹⁰ = 100121111197 is a prime.

It is a super-2 number, since 2×100121112221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100121112196 and 100121112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121112271) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3850811996 + ... + 3850812021.

It is an arithmetic number, because the mean of its divisors is an integer number (26955684063).

Almost surely, 2^100121112221 is an apocalyptic number.

It is an amenable number.

100121112221 is a deficient number, since it is larger than the sum of its proper divisors (7701624031).

100121112221 is an equidigital number, since it uses as much as digits as its factorization.

100121112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7701624030.

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

Adding to 100121112221 its reverse (122211121001), we get a palindrome (222332233222).

The spelling of 100121112221 in words is "one hundred billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".