101201330000 has 100 divisors (see below), whose sum is σ = 245471939460. Its totient is φ = 40405632000.

The previous prime is 101201329973. The next prime is 101201330051. The reversal of 101201330000 is 33102101.

It can be written as a sum of positive squares in 10 ways, for example, as 100813870144 + 387459856 = 317512^2 + 19684^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5560916 + ... + 5579084.

Almost surely, 2^101201330000 is an apocalyptic number.

101201330000 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 101201330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122735969730).

101201330000 is an abundant number, since it is smaller than the sum of its proper divisors (144270609460).

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

101201330000 is an equidigital number, since it uses as much as digits as its factorization.

101201330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18754 (or 18733 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 101201330000 its reverse (33102101), we get a palindrome (101234432101).

The spelling of 101201330000 in words is "one hundred one billion, two hundred one million, three hundred thirty thousand".