100120241221 has 64 divisors (see below), whose sum is σ = 137388787200. Its totient is φ = 71900075520.

The previous prime is 100120241213. The next prime is 100120241233. The reversal of 100120241221 is 122142021001.

It is not a de Polignac number, because 100120241221 - 2³ = 100120241213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120241195 and 100120241204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120541221) 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, 41837601 + ... + 41839993.

It is an arithmetic number, because the mean of its divisors is an integer number (2146699800).

Almost surely, 2^100120241221 is an apocalyptic number.

100120241221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120241221 is a deficient number, since it is larger than the sum of its proper divisors (37268545979).

100120241221 is a wasteful number, since it uses less digits than its factorization.

100120241221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100120241221 its reverse (122142021001), we get a palindrome (222262262222).

The spelling of 100120241221 in words is "one hundred billion, one hundred twenty million, two hundred forty-one thousand, two hundred twenty-one".