101212312200 has 96 divisors (see below), whose sum is σ = 330271792800. Its totient is φ = 25569423360.

The previous prime is 101212312177. The next prime is 101212312273. The reversal of 101212312200 is 2213212101.

101212312200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 101212312200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4427737 + ... + 4450536.

It is an arithmetic number, because the mean of its divisors is an integer number (3440331175).

Almost surely, 2^101212312200 is an apocalyptic number.

101212312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212312200 is an abundant number, since it is smaller than the sum of its proper divisors (229059480600).

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

101212312200 is a wasteful number, since it uses less digits than its factorization.

101212312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878311 (or 8878302 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101212312200 its reverse (2213212101), we get a palindrome (103425524301).

The spelling of 101212312200 in words is "one hundred one billion, two hundred twelve million, three hundred twelve thousand, two hundred".