101032131200 has 384 divisors, whose sum is σ = 335112301440. Its totient is φ = 29067264000.

The previous prime is 101032131199. The next prime is 101032131209. The reversal of 101032131200 is 2131230101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101032131209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3187430 + ... + 3218970.

It is an arithmetic number, because the mean of its divisors is an integer number (872688285).

Almost surely, 2^101032131200 is an apocalyptic number.

101032131200 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 101032131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167556150720).

101032131200 is an abundant number, since it is smaller than the sum of its proper divisors (234080170240).

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

101032131200 is a wasteful number, since it uses less digits than its factorization.

101032131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31596 (or 31579 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101032131200 its reverse (2131230101), we get a palindrome (103163361301).

It can be divided in two parts, 101032 and 131200, that added together give a palindrome (232232).

The spelling of 101032131200 in words is "one hundred one billion, thirty-two million, one hundred thirty-one thousand, two hundred".