122111000111221 has 18 divisors (see below), whose sum is σ = 134627923698198. Its totient is φ = 110674610442000.

The previous prime is 122111000111201. The next prime is 122111000111237.

122111000111221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 121308746700625 + 802253410596 = 11014025^2 + 895686^2 .

It is not a de Polignac number, because 122111000111221 - 2⁵ = 122111000111189 is a prime.

It is a super-2 number, since 2×122111000111221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111000111195 and 122111000111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111000111201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8651311 + ... + 17862451.

Almost surely, 2^{122111000111221} is an apocalyptic number.

122111000111221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111000111221 is a deficient number, since it is larger than the sum of its proper divisors (12516923586977).

122111000111221 is an frugal number, since it uses more digits than its factorization.

122111000111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9211825 (or 9211483 counting only the distinct ones).

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

It can be divided in two parts, 122111000 and 111221, that added together give a palindrome (122222221).

The spelling of 122111000111221 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred eleven thousand, two hundred twenty-one".