201202122202112 has 176 divisors, whose sum is σ = 412233736578048. Its totient is φ = 98124424151040.

The previous prime is 201202122202091. The next prime is 201202122202163. The reversal of 201202122202112 is 211202221202102.

It is a super-2 number, since 2×201202122202112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 32207796173 + ... + 32207802419.

It is an arithmetic number, because the mean of its divisors is an integer number (2342237139648).

Almost surely, 2^{201202122202112} 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 201202122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206116868289024).

201202122202112 is an abundant number, since it is smaller than the sum of its proper divisors (211031614375936).

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

201202122202112 is an equidigital number, since it uses as much as digits as its factorization.

201202122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11002 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201202122202112 its reverse (211202221202102), we get a palindrome (412404343404214).

The spelling of 201202122202112 in words is "two hundred one trillion, two hundred two billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".