201012002112112 has 160 divisors (see below), whose sum is σ = 420201375390720. Its totient is φ = 92914069248000.

The previous prime is 201012002112101. The next prime is 201012002112113. The reversal of 201012002112112 is 211211200210102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201012002112113) 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 31 ways as a sum of consecutive naturals, for example, 16990274037 + ... + 16990285867.

It is an arithmetic number, because the mean of its divisors is an integer number (2626258596192).

Almost surely, 2^{201012002112112} 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 201012002112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210100687695360).

201012002112112 is an abundant number, since it is smaller than the sum of its proper divisors (219189373278608).

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

201012002112112 is a wasteful number, since it uses less digits than its factorization.

201012002112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22343 (or 22337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201012002112112 its reverse (211211200210102), we get a palindrome (412223202322214).

The spelling of 201012002112112 in words is "two hundred one trillion, twelve billion, two million, one hundred twelve thousand, one hundred twelve".