101023323332000 has 192 divisors, whose sum is σ = 253326485543040. Its totient is φ = 39583805184000.

The previous prime is 101023323331939. The next prime is 101023323332033. The reversal of 101023323332000 is 233323320101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 46919060 + ... + 49024940.

It is an arithmetic number, because the mean of its divisors is an integer number (1319408778870).

Almost surely, 2^{101023323332000} is an apocalyptic number.

101023323332000 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 101023323332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126663242771520).

101023323332000 is an abundant number, since it is smaller than the sum of its proper divisors (152303162211040).

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

101023323332000 is a wasteful number, since it uses less digits than its factorization.

101023323332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106152 (or 2106134 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 101023323332000 its reverse (233323320101), we get a palindrome (101256646652101).

The spelling of 101023323332000 in words is "one hundred one trillion, twenty-three billion, three hundred twenty-three million, three hundred thirty-two thousand".