101212200 has 96 divisors (see below), whose sum is σ = 348638400. Its totient is φ = 26988480.

The previous prime is 101212141. The next prime is 101212207. The reversal of 101212200 is 2212101.

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

It is not an unprimeable number, because it can be changed into a prime (101212207) by changing a digit.

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, 3972 + ... + 14771.

It is an arithmetic number, because the mean of its divisors is an integer number (3631650).

Almost surely, 2^101212200 is an apocalyptic number.

101212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212200 is an abundant number, since it is smaller than the sum of its proper divisors (247426200).

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

101212200 is a wasteful number, since it uses less digits than its factorization.

101212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18768 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101212200 is about 10060.4274263075. The cubic root of 101212200 is about 466.0268670002.

Adding to 101212200 its reverse (2212101), we get a palindrome (103424301).

Subtracting from 101212200 its reverse (2212101), we obtain a palindrome (99000099).

It can be divided in two parts, 10121 and 2200, that added together give a palindrome (12321).

The spelling of 101212200 in words is "one hundred one million, two hundred twelve thousand, two hundred".