212112101100120 has 64 divisors (see below), whose sum is σ = 685285249713120. Its totient is φ = 52212209501184.

The previous prime is 212112101100103. The next prime is 212112101100227. The reversal of 212112101100120 is 21001101211212.

It is a happy number.

It is a super-2 number, since 2×212112101100120² (a number of 29 digits) contains 22 as substring.

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 212112101100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67984646229 + ... + 67984649348.

Almost surely, 2^{212112101100120} is an apocalyptic number.

212112101100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112101100120 is an abundant number, since it is smaller than the sum of its proper divisors (473173148613000).

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

212112101100120 is a wasteful number, since it uses less digits than its factorization.

212112101100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135969295604 (or 135969295600 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212112101100120 its reverse (21001101211212), we get a palindrome (233113202311332).

The spelling of 212112101100120 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred one million, one hundred thousand, one hundred twenty".