100221021212121 has 16 divisors (see below), whose sum is σ = 148475763299520. Its totient is φ = 66813934798080.

The previous prime is 100221021212119. The next prime is 100221021212129. The reversal of 100221021212121 is 121212120122001.

100221021212121 is a `hidden beast` number, since 100 + 2 + 210 + 21 + 212 + 121 = 666.

It is not a de Polignac number, because 100221021212121 - 2¹ = 100221021212119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100221021212094 and 100221021212103.

It is not an unprimeable number, because it can be changed into a prime (100221021212129) 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, 28970926 + ... + 32245256.

It is an arithmetic number, because the mean of its divisors is an integer number (9279735206220).

Almost surely, 2^{100221021212121} is an apocalyptic number.

It is an amenable number.

100221021212121 is a deficient number, since it is larger than the sum of its proper divisors (48254742087399).

100221021212121 is a wasteful number, since it uses less digits than its factorization.

100221021212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407973 (or 4407967 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100221021212121 its reverse (121212120122001), we get a palindrome (221433141334122).

The spelling of 100221021212121 in words is "one hundred trillion, two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, one hundred twenty-one".