101323201000 has 128 divisors (see below), whose sum is σ = 271855584000. Its totient is φ = 34625491200.

The previous prime is 101323200983. The next prime is 101323201003. The reversal of 101323201000 is 102323101.

It is not an unprimeable number, because it can be changed into a prime (101323201003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125426 + ... + 2172574.

It is an arithmetic number, because the mean of its divisors is an integer number (2123871750).

Almost surely, 2^101323201000 is an apocalyptic number.

101323201000 is a gapful number since it is divisible by the number (10) 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 101323201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135927792000).

101323201000 is an abundant number, since it is smaller than the sum of its proper divisors (170532383000).

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

101323201000 is a wasteful number, since it uses less digits than its factorization.

101323201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47484 (or 47470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 101323201000 its reverse (102323101), we get a palindrome (101425524101).

The spelling of 101323201000 in words is "one hundred one billion, three hundred twenty-three million, two hundred one thousand".