201101012112 has 480 divisors, whose sum is σ = 712069674624. Its totient is φ = 48074342400.

The previous prime is 201101012041. The next prime is 201101012153. The reversal of 201101012112 is 211210101102.

201101012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155050248 + ... + 155051544.

Almost surely, 2^201101012112 is an apocalyptic number.

201101012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356034837312).

201101012112 is an abundant number, since it is smaller than the sum of its proper divisors (510968662512).

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

201101012112 is a wasteful number, since it uses less digits than its factorization.

201101012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201101012112 its reverse (211210101102), we get a palindrome (412311113214).

The spelling of 201101012112 in words is "two hundred one billion, one hundred one million, twelve thousand, one hundred twelve".