101209200 has 240 divisors, whose sum is σ = 357953280. Its totient is φ = 24330240.

The previous prime is 101209193. The next prime is 101209201. The reversal of 101209200 is 2902101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101209200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101209201) 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, 524304 + ... + 524496.

It is an arithmetic number, because the mean of its divisors is an integer number (1491472).

Almost surely, 2^101209200 is an apocalyptic number.

101209200 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 101209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178976640).

101209200 is an abundant number, since it is smaller than the sum of its proper divisors (256744080).

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

101209200 is a wasteful number, since it uses less digits than its factorization.

101209200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101209200 is about 10060.2783261697. The cubic root of 101209200 is about 466.0222625012.

The spelling of 101209200 in words is "one hundred one million, two hundred nine thousand, two hundred".