101212002200112 has 40 divisors (see below), whose sum is σ = 261471303622656. Its totient is φ = 33736435407936.

The previous prime is 101212002200053. The next prime is 101212002200117. The reversal of 101212002200112 is 211002200212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212002200091 and 101212002200100.

It is not an unprimeable number, because it can be changed into a prime (101212002200117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26261088 + ... + 29867519.

Almost surely, 2^{101212002200112} is an apocalyptic number.

101212002200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101212002200112 is an abundant number, since it is smaller than the sum of its proper divisors (160259301422544).

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

101212002200112 is a wasteful number, since it uses less digits than its factorization.

101212002200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56166185 (or 56166179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101212002200112 its reverse (211002200212101), we get a palindrome (312214202412213).

The spelling of 101212002200112 in words is "one hundred one trillion, two hundred twelve billion, two million, two hundred thousand, one hundred twelve".