221413101314122 has 8 divisors (see below), whose sum is σ = 332830828957536. Its totient is φ = 110469491661612.

The previous prime is 221413101314089. The next prime is 221413101314123.

221413101314122 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×221413101314122² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221413101314123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118529496558 + ... + 118529498425.

It is an arithmetic number, because the mean of its divisors is an integer number (41603853619692).

Almost surely, 2^{221413101314122} is an apocalyptic number.

221413101314122 is a deficient number, since it is larger than the sum of its proper divisors (111417727643414).

221413101314122 is a wasteful number, since it uses less digits than its factorization.

221413101314122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237058995452.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 22141310 and 1314122, that added together give a palindrome (23455432).

The spelling of 221413101314122 in words is "two hundred twenty-one trillion, four hundred thirteen billion, one hundred one million, three hundred fourteen thousand, one hundred twenty-two".