212112210101200 has 120 divisors (see below), whose sum is σ = 538162790251968. Its totient is φ = 80178192906240.

The previous prime is 212112210101171. The next prime is 212112210101201. The reversal of 212112210101200 is 2101012211212.

It is a super-2 number, since 2×212112210101200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112210101201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138126009 + ... + 139653208.

Almost surely, 2^{212112210101200} is an apocalyptic number.

212112210101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112210101200 is an abundant number, since it is smaller than the sum of its proper divisors (326050580150768).

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

212112210101200 is a wasteful number, since it uses less digits than its factorization.

212112210101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277779341 (or 277779330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212112210101200 its reverse (2101012211212), we get a palindrome (214213222312412).

The spelling of 212112210101200 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand, two hundred".