101032021200 has 720 divisors, whose sum is σ = 385703884800. Its totient is φ = 22356633600.

The previous prime is 101032021169. The next prime is 101032021217. The reversal of 101032021200 is 2120230101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 210922561 + ... + 210923039.

It is an arithmetic number, because the mean of its divisors is an integer number (535699840).

Almost surely, 2^101032021200 is an apocalyptic number.

101032021200 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 101032021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192851942400).

101032021200 is an abundant number, since it is smaller than the sum of its proper divisors (284671863600).

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

101032021200 is a wasteful number, since it uses less digits than its factorization.

101032021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101032021200 its reverse (2120230101), we get a palindrome (103152251301).

The spelling of 101032021200 in words is "one hundred one billion, thirty-two million, twenty-one thousand, two hundred".