100221120111121 has 4 divisors (see below), whose sum is σ = 100221180217200. Its totient is φ = 100221060005044.

The previous prime is 100221120111107. The next prime is 100221120111173. The reversal of 100221120111121 is 121111021122001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100221120111121 - 2³⁵ = 100186760372753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221120111095 and 100221120111104.

It is not an unprimeable number, because it can be changed into a prime (100221190111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27478411 + ... + 30911248.

It is an arithmetic number, because the mean of its divisors is an integer number (25055295054300).

Almost surely, 2^{100221120111121} is an apocalyptic number.

It is an amenable number.

100221120111121 is a deficient number, since it is larger than the sum of its proper divisors (60106079).

100221120111121 is an equidigital number, since it uses as much as digits as its factorization.

100221120111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60106078.

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

Adding to 100221120111121 its reverse (121111021122001), we get a palindrome (221332141233122).

The spelling of 100221120111121 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty-one".