100120322211221 has 32 divisors (see below), whose sum is σ = 109825366560000. Its totient is φ = 90708067054080.

The previous prime is 100120322211181. The next prime is 100120322211241. The reversal of 100120322211221 is 122112223021001.

It is a cyclic number.

It is not a de Polignac number, because 100120322211221 - 2¹⁰ = 100120322210197 is a prime.

It is a super-2 number, since 2×100120322211221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100120322211193 and 100120322211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120322211241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3484977185 + ... + 3485005913.

It is an arithmetic number, because the mean of its divisors is an integer number (3432042705000).

Almost surely, 2^{100120322211221} is an apocalyptic number.

It is an amenable number.

100120322211221 is a deficient number, since it is larger than the sum of its proper divisors (9705044348779).

100120322211221 is a wasteful number, since it uses less digits than its factorization.

100120322211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38109.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100120322211221 its reverse (122112223021001), we get a palindrome (222232545232222).

The spelling of 100120322211221 in words is "one hundred trillion, one hundred twenty billion, three hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".