201321123102 has 96 divisors (see below), whose sum is σ = 503974729440. Its totient is φ = 57402562560.

The previous prime is 201321123089. The next prime is 201321123109.

201321123102 is a `hidden beast` number, since 20 + 1 + 321 + 12 + 310 + 2 = 666.

201321123102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201321123109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20773474 + ... + 20783162.

It is an arithmetic number, because the mean of its divisors is an integer number (5249736765).

Almost surely, 2^201321123102 is an apocalyptic number.

201321123102 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 201321123102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251987364720).

201321123102 is an abundant number, since it is smaller than the sum of its proper divisors (302653606338).

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

201321123102 is a wasteful number, since it uses less digits than its factorization.

201321123102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15898 (or 15895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 201321 and 123102, that added together give a palindrome (324423).

The spelling of 201321123102 in words is "two hundred one billion, three hundred twenty-one million, one hundred twenty-three thousand, one hundred two".