221312101213122 has 32 divisors (see below), whose sum is σ = 449956553437440. Its totient is φ = 72549051669120.

The previous prime is 221312101213067. The next prime is 221312101213127.

221312101213122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221312101213122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221312101213092 and 221312101213101.

It is not an unprimeable number, because it can be changed into a prime (221312101213127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49057347 + ... + 53378342.

It is an arithmetic number, because the mean of its divisors is an integer number (14061142294920).

Almost surely, 2^{221312101213122} is an apocalyptic number.

221312101213122 is an abundant number, since it is smaller than the sum of its proper divisors (228644452224318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221312101213122 is a wasteful number, since it uses less digits than its factorization.

221312101213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102441658.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 22131210 and 1213122, that added together give a palindrome (23344332).

The spelling of 221312101213122 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred one million, two hundred thirteen thousand, one hundred twenty-two".