101323123122330 has 256 divisors, whose sum is σ = 282285070848000. Its totient is φ = 25835955395328.

The previous prime is 101323123122323. The next prime is 101323123122349. The reversal of 101323123122330 is 33221321323101.

101323123122330 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 3 + 12 + 312 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101323123122294 and 101323123122303.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2125978041 + ... + 2126025699.

It is an arithmetic number, because the mean of its divisors is an integer number (1102676058000).

Almost surely, 2^{101323123122330} is an apocalyptic number.

101323123122330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101323123122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141142535424000).

101323123122330 is an abundant number, since it is smaller than the sum of its proper divisors (180961947725670).

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

101323123122330 is a wasteful number, since it uses less digits than its factorization.

101323123122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51378 (or 51372 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101323123122330 its reverse (33221321323101), we get a palindrome (134544444445431).

The spelling of 101323123122330 in words is "one hundred one trillion, three hundred twenty-three billion, one hundred twenty-three million, one hundred twenty-two thousand, three hundred thirty".