101321504202132 has 144 divisors (see below), whose sum is σ = 264141967641552. Its totient is φ = 32727484661760.

The previous prime is 101321504202103. The next prime is 101321504202133. The reversal of 101321504202132 is 231202405123101.

It is a happy number.

101321504202132 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 1 + 504 + 20 + 2 + 132 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 133315535376 + 101188188666756 = 365124^2 + 10059234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101321504202096 and 101321504202105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101321504202133) 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, 172133988 + ... + 172721604.

It is an arithmetic number, because the mean of its divisors is an integer number (1834319219733).

Almost surely, 2^{101321504202132} is an apocalyptic number.

101321504202132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101321504202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132070983820776).

101321504202132 is an abundant number, since it is smaller than the sum of its proper divisors (162820463439420).

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

101321504202132 is a wasteful number, since it uses less digits than its factorization.

101321504202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588458 (or 588453 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101321504202132 its reverse (231202405123101), we get a palindrome (332523909325233).

The spelling of 101321504202132 in words is "one hundred one trillion, three hundred twenty-one billion, five hundred four million, two hundred two thousand, one hundred thirty-two".