101102201210112 has 144 divisors (see below), whose sum is σ = 275999532399360. Its totient is φ = 32844148531200.

The previous prime is 101102201210111. The next prime is 101102201210141. The reversal of 101102201210112 is 211012102201101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101102201210091 and 101102201210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102201210111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4793064 + ... + 15005927.

It is an arithmetic number, because the mean of its divisors is an integer number (1916663419440).

Almost surely, 2^{101102201210112} is an apocalyptic number.

101102201210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102201210112 is an abundant number, since it is smaller than the sum of its proper divisors (174897331189248).

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

101102201210112 is a wasteful number, since it uses less digits than its factorization.

101102201210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19799180 (or 19799166 counting only the distinct ones).

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

Adding to 101102201210112 its reverse (211012102201101), we get a palindrome (312114303411213).

The spelling of 101102201210112 in words is "one hundred one trillion, one hundred two billion, two hundred one million, two hundred ten thousand, one hundred twelve".