100221110121 has 64 divisors (see below), whose sum is σ = 152981913600. Its totient is φ = 57802483200.

The previous prime is 100221110081. The next prime is 100221110141. The reversal of 100221110121 is 121011122001.

It is not a de Polignac number, because 100221110121 - 2⁷ = 100221109993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221110097 and 100221110106.

It is not an unprimeable number, because it can be changed into a prime (100221110141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29553336 + ... + 29556726.

It is an arithmetic number, because the mean of its divisors is an integer number (2390342400).

Almost surely, 2^100221110121 is an apocalyptic number.

100221110121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221110121 is a deficient number, since it is larger than the sum of its proper divisors (52760803479).

100221110121 is a wasteful number, since it uses less digits than its factorization.

100221110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221110121 its reverse (121011122001), we get a palindrome (221232232122).

The spelling of 100221110121 in words is "one hundred billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty-one".