201102001112112 has 320 divisors, whose sum is σ = 552496164172800. Its totient is φ = 62895957442560.

The previous prime is 201102001112099. The next prime is 201102001112119. The reversal of 201102001112112 is 211211100201102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201102001112091 and 201102001112100.

It is not an unprimeable number, because it can be changed into a prime (201102001112119) 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 63 ways as a sum of consecutive naturals, for example, 47063419608 + ... + 47063423880.

It is an arithmetic number, because the mean of its divisors is an integer number (1726550513040).

Almost surely, 2^{201102001112112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102001112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276248082086400).

201102001112112 is an abundant number, since it is smaller than the sum of its proper divisors (351394163060688).

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

201102001112112 is a wasteful number, since it uses less digits than its factorization.

201102001112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 6110 counting only the distinct ones).

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

Adding to 201102001112112 its reverse (211211100201102), we get a palindrome (412313101313214).

The spelling of 201102001112112 in words is "two hundred one trillion, one hundred two billion, one million, one hundred twelve thousand, one hundred twelve".