101023200 has 180 divisors, whose sum is σ = 368648280. Its totient is φ = 26922240.

The previous prime is 101023187. The next prime is 101023207. The reversal of 101023200 is 2320101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64021 + ... + 65579.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 2^101023200 is an apocalyptic number.

101023200 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 101023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184324140).

101023200 is an abundant number, since it is smaller than the sum of its proper divisors (267625080).

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

101023200 is a wasteful number, since it uses less digits than its factorization.

101023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101023200 is about 10051.0297979859. The cubic root of 101023200 is about 465.7366056811.

Adding to 101023200 its reverse (2320101), we get a palindrome (103343301).

The spelling of 101023200 in words is "one hundred one million, twenty-three thousand, two hundred".