101023331322000 has 640 divisors, whose sum is σ = 352926826237440. Its totient is φ = 24774112051200.

The previous prime is 101023331321987. The next prime is 101023331322061. The reversal of 101023331322000 is 223133320101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1826366344 + ... + 1826421656.

It is an arithmetic number, because the mean of its divisors is an integer number (551448165996).

Almost surely, 2^{101023331322000} is an apocalyptic number.

101023331322000 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 101023331322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176463413118720).

101023331322000 is an abundant number, since it is smaller than the sum of its proper divisors (251903494915440).

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

101023331322000 is a wasteful number, since it uses less digits than its factorization.

101023331322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55828 (or 55812 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101023331322000 its reverse (223133320101), we get a palindrome (101246464642101).

The spelling of 101023331322000 in words is "one hundred one trillion, twenty-three billion, three hundred thirty-one million, three hundred twenty-two thousand".