100110121101221 has 128 divisors (see below), whose sum is σ = 136646624305152. Its totient is φ = 70966232064000.

The previous prime is 100110121101203. The next prime is 100110121101227. The reversal of 100110121101221 is 122101121011001.

It is not a de Polignac number, because 100110121101221 - 2¹⁴ = 100110121084837 is a prime.

It is a super-3 number, since 3×100110121101221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110121101196 and 100110121101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110121101227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7295054066 + ... + 7295067788.

It is an arithmetic number, because the mean of its divisors is an integer number (1067551752384).

Almost surely, 2^{100110121101221} is an apocalyptic number.

100110121101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110121101221 is a deficient number, since it is larger than the sum of its proper divisors (36536503203931).

100110121101221 is a wasteful number, since it uses less digits than its factorization.

100110121101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363.

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

Adding to 100110121101221 its reverse (122101121011001), we get a palindrome (222211242112222).

The spelling of 100110121101221 in words is "one hundred trillion, one hundred ten billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty-one".