100101211011221 has 32 divisors (see below), whose sum is σ = 116433711878400. Its totient is φ = 84291240384000.

The previous prime is 100101211011157. The next prime is 100101211011239. The reversal of 100101211011221 is 122110112101001.

It is a cyclic number.

It is not a de Polignac number, because 100101211011221 - 2⁶ = 100101211011157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101211011196 and 100101211011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101211011251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98199326 + ... + 99213456.

It is an arithmetic number, because the mean of its divisors is an integer number (3638553496200).

Almost surely, 2^{100101211011221} is an apocalyptic number.

It is an amenable number.

100101211011221 is a deficient number, since it is larger than the sum of its proper divisors (16332500867179).

100101211011221 is a wasteful number, since it uses less digits than its factorization.

100101211011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015325.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100101211011221 its reverse (122110112101001), we get a palindrome (222211323112222).

The spelling of 100101211011221 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, eleven thousand, two hundred twenty-one".