122111101111221 has 18 divisors (see below), whose sum is σ = 181278642208482. Its totient is φ = 79207200712800.

The previous prime is 122111101111183. The next prime is 122111101111231.

122111101111221 is a `hidden beast` number, since 1 + 221 + 1 + 110 + 1 + 111 + 221 = 666.

122111101111221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 71850289367025 + 50260811744196 = 8476455^2 + 7089486^2 .

It is not a de Polignac number, because 122111101111221 - 2⁶ = 122111101111157 is a prime.

It is a super-2 number, since 2×122111101111221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111101111194 and 122111101111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111101111231) 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, 4955393130 + ... + 4955417771.

It is an arithmetic number, because the mean of its divisors is an integer number (10071035678249).

Almost surely, 2^{122111101111221} is an apocalyptic number.

It is an amenable number.

122111101111221 is a deficient number, since it is larger than the sum of its proper divisors (59167541097261).

122111101111221 is an equidigital number, since it uses as much as digits as its factorization.

122111101111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910810981 (or 9910810941 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

It can be divided in two parts, 12211110 and 1111221, that added together give a palindrome (13322331).

The spelling of 122111101111221 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, two hundred twenty-one".