101021032130200 has 192 divisors, whose sum is σ = 289124004879360. Its totient is φ = 31966134520320.

The previous prime is 101021032130191. The next prime is 101021032130201. The reversal of 101021032130200 is 2031230120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021032130201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108865389 + ... + 109789411.

It is an arithmetic number, because the mean of its divisors is an integer number (1505854192080).

Almost surely, 2^{101021032130200} is an apocalyptic number.

101021032130200 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 101021032130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144562002439680).

101021032130200 is an abundant number, since it is smaller than the sum of its proper divisors (188102972749160).

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

101021032130200 is a wasteful number, since it uses less digits than its factorization.

101021032130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930066 (or 930057 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101021032130200 its reverse (2031230120101), we get a palindrome (103052262250301).

The spelling of 101021032130200 in words is "one hundred one trillion, twenty-one billion, thirty-two million, one hundred thirty thousand, two hundred".