221201323102122 has 96 divisors (see below), whose sum is σ = 491147705708352. Its totient is φ = 66359494080000.

The previous prime is 221201323102079. The next prime is 221201323102129.

221201323102122 is nontrivially palindromic in base 10.

221201323102122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221201323102092 and 221201323102101.

It is not an unprimeable number, because it can be changed into a prime (221201323102129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 662773533 + ... + 663107199.

It is an arithmetic number, because the mean of its divisors is an integer number (5116121934462).

Almost surely, 2^{221201323102122} is an apocalyptic number.

221201323102122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201323102122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245573852854176).

221201323102122 is an abundant number, since it is smaller than the sum of its proper divisors (269946382606230).

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

221201323102122 is a wasteful number, since it uses less digits than its factorization.

221201323102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342836 (or 342825 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

It can be divided in two parts, 221201 and 323102122, that added together give a palindrome (323323323).

The spelling of 221201323102122 in words is "two hundred twenty-one trillion, two hundred one billion, three hundred twenty-three million, one hundred two thousand, one hundred twenty-two".