101212800 has 192 divisors, whose sum is σ = 359456160. Its totient is φ = 24883200.

The previous prime is 101212759. The next prime is 101212819. The reversal of 101212800 is 8212101.

It is a tau number, because it is divible by the number of its divisors (192).

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 101212800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124395 + ... + 125205.

Almost surely, 2^101212800 is an apocalyptic number.

101212800 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 101212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179728080).

101212800 is an abundant number, since it is smaller than the sum of its proper divisors (258243360).

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

101212800 is a wasteful number, since it uses less digits than its factorization.

101212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 101212800 is about 10060.4572460699. The cubic root of 101212800 is about 466.0277878890.

Adding to 101212800 its reverse (8212101), we get a palindrome (109424901).

It can be divided in two parts, 10121 and 2800, that added together give a palindrome (12921).

The spelling of 101212800 in words is "one hundred one million, two hundred twelve thousand, eight hundred".