100221231121 has 16 divisors (see below), whose sum is σ = 111639054528. Its totient is φ = 89206099200.

The previous prime is 100221231119. The next prime is 100221231133. The reversal of 100221231121 is 121132122001.

It is a cyclic number.

It is not a de Polignac number, because 100221231121 - 2¹ = 100221231119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221231095 and 100221231104.

It is not an unprimeable number, because it can be changed into a prime (100221231101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345495 + ... + 565516.

It is an arithmetic number, because the mean of its divisors is an integer number (6977440908).

Almost surely, 2^100221231121 is an apocalyptic number.

100221231121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221231121 is a deficient number, since it is larger than the sum of its proper divisors (11417823407).

100221231121 is a wasteful number, since it uses less digits than its factorization.

100221231121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911232.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100221231121 its reverse (121132122001), we get a palindrome (221353353122).

The spelling of 100221231121 in words is "one hundred billion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty-one".