101023322000 has 80 divisors (see below), whose sum is σ = 244401535872. Its totient is φ = 40388297600.

The previous prime is 101023321999. The next prime is 101023322003. The reversal of 101023322000 is 223320101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101023322003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4161899 + ... + 4186101.

Almost surely, 2^101023322000 is an apocalyptic number.

101023322000 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 101023322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122200767936).

101023322000 is an abundant number, since it is smaller than the sum of its proper divisors (143378213872).

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

101023322000 is a wasteful number, since it uses less digits than its factorization.

101023322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26313 (or 26297 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 101023322000 its reverse (223320101), we get a palindrome (101246642101).

The spelling of 101023322000 in words is "one hundred one billion, twenty-three million, three hundred twenty-two thousand".