201202110202112 has 144 divisors (see below), whose sum is σ = 407059623936000. Its totient is φ = 99241788352512.

The previous prime is 201202110202081. The next prime is 201202110202123. The reversal of 201202110202112 is 211202011202102.

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 15 ways as a sum of consecutive naturals, for example, 68459375939 + ... + 68459378877.

It is an arithmetic number, because the mean of its divisors is an integer number (2826802944000).

Almost surely, 2^{201202110202112} 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 201202110202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203529811968000).

201202110202112 is an abundant number, since it is smaller than the sum of its proper divisors (205857513733888).

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

201202110202112 is a wasteful number, since it uses less digits than its factorization.

201202110202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6716 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201202110202112 its reverse (211202011202102), we get a palindrome (412404121404214).

The spelling of 201202110202112 in words is "two hundred one trillion, two hundred two billion, one hundred ten million, two hundred two thousand, one hundred twelve".