101000332000 has 192 divisors, whose sum is σ = 263292591744. Its totient is φ = 37945958400.

The previous prime is 101000331923. The next prime is 101000332039. The reversal of 101000332000 is 233000101.

101000332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101000332000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41682789 + ... + 41685211.

It is an arithmetic number, because the mean of its divisors is an integer number (1371315582).

Almost surely, 2^101000332000 is an apocalyptic number.

101000332000 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 101000332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131646295872).

101000332000 is an abundant number, since it is smaller than the sum of its proper divisors (162292259744).

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

101000332000 is a wasteful number, since it uses less digits than its factorization.

101000332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 101000332000 its reverse (233000101), we get a palindrome (101233332101).

The spelling of 101000332000 in words is "one hundred one billion, three hundred thirty-two thousand".