101331332321100 has 432 divisors, whose sum is σ = 359073336585600. Its totient is φ = 21938090388480.

The previous prime is 101331332320987. The next prime is 101331332321129. The reversal of 101331332321100 is 1123233133101.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1531368816 + ... + 1531434984.

Almost surely, 2^{101331332321100} is an apocalyptic number.

101331332321100 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 101331332321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179536668292800).

101331332321100 is an abundant number, since it is smaller than the sum of its proper divisors (257742004264500).

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

101331332321100 is a wasteful number, since it uses less digits than its factorization.

101331332321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71702 (or 71688 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 101331332321100 its reverse (1123233133101), we get a palindrome (102454565454201).

The spelling of 101331332321100 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred thirty-two million, three hundred twenty-one thousand, one hundred".