101211200100112 has 20 divisors (see below), whose sum is σ = 196105671853840. Its totient is φ = 50603284783008.

The previous prime is 101211200100067. The next prime is 101211200100167. The reversal of 101211200100112 is 211001002112101.

It is a happy number.

101211200100112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101211200100112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 101211200100092 and 101211200100101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144343518 + ... + 145043005.

It is an arithmetic number, because the mean of its divisors is an integer number (9805283592692).

Almost surely, 2^{101211200100112} is an apocalyptic number.

It is an amenable number.

101211200100112 is a deficient number, since it is larger than the sum of its proper divisors (94894471753728).

101211200100112 is a wasteful number, since it uses less digits than its factorization.

101211200100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289408390 (or 289408384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211200100112 its reverse (211001002112101), we get a palindrome (312212202212213).

The spelling of 101211200100112 in words is "one hundred one trillion, two hundred eleven billion, two hundred million, one hundred thousand, one hundred twelve".