201221202112 has 112 divisors (see below), whose sum is σ = 461558103552. Its totient is φ = 85254635520.

The previous prime is 201221202107. The next prime is 201221202121. The reversal of 201221202112 is 211202122102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29574903 + ... + 29581705.

It is an arithmetic number, because the mean of its divisors is an integer number (4121054496).

Almost surely, 2^201221202112 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 201221202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230779051776).

201221202112 is an abundant number, since it is smaller than the sum of its proper divisors (260336901440).

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

201221202112 is a wasteful number, since it uses less digits than its factorization.

201221202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7556 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201221202112 its reverse (211202122102), we get a palindrome (412423324214).

The spelling of 201221202112 in words is "two hundred one billion, two hundred twenty-one million, two hundred two thousand, one hundred twelve".