101200210102112 has 48 divisors (see below), whose sum is σ = 217376188710912. Its totient is φ = 45994648417920.

The previous prime is 101200210102111. The next prime is 101200210102163. The reversal of 101200210102112 is 211201012002101.

It is a super-2 number, since 2×101200210102112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200210102111) 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, 14044568 + ... + 19991255.

It is an arithmetic number, because the mean of its divisors is an integer number (4528670598144).

Almost surely, 2^{101200210102112} is an apocalyptic number.

It is an amenable number.

101200210102112 is an abundant number, since it is smaller than the sum of its proper divisors (116175978608800).

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

101200210102112 is a wasteful number, since it uses less digits than its factorization.

101200210102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34044291 (or 34044283 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101200210102112 its reverse (211201012002101), we get a palindrome (312401222104213).

The spelling of 101200210102112 in words is "one hundred one trillion, two hundred billion, two hundred ten million, one hundred two thousand, one hundred twelve".