101201200211112 has 32 divisors (see below), whose sum is σ = 253003823092800. Its totient is φ = 33733623728384.

The previous prime is 101201200211107. The next prime is 101201200211113. The reversal of 101201200211112 is 211112002102101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101201200211091 and 101201200211100.

It is not an unprimeable number, because it can be changed into a prime (101201200211113) 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 7 ways as a sum of consecutive naturals, for example, 858064 + ... + 14252672.

It is an arithmetic number, because the mean of its divisors is an integer number (7906369471650).

Almost surely, 2^{101201200211112} is an apocalyptic number.

101201200211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201200211112 is an abundant number, since it is smaller than the sum of its proper divisors (151802622881688).

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

101201200211112 is a wasteful number, since it uses less digits than its factorization.

101201200211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709425 (or 13709421 counting only the distinct ones).

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

Adding to 101201200211112 its reverse (211112002102101), we get a palindrome (312313202313213).

The spelling of 101201200211112 in words is "one hundred one trillion, two hundred one billion, two hundred million, two hundred eleven thousand, one hundred twelve".