202220001002112 has 128 divisors (see below), whose sum is σ = 543962456928000. Its totient is φ = 66551429627904.

The previous prime is 202220001002111. The next prime is 202220001002171. The reversal of 202220001002112 is 211200100022202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 202220001002091 and 202220001002100.

It is not an unprimeable number, because it can be changed into a prime (202220001002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291294888 + ... + 1291451480.

It is an arithmetic number, because the mean of its divisors is an integer number (4249706694750).

Almost surely, 2^{202220001002112} 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 202220001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271981228464000).

202220001002112 is an abundant number, since it is smaller than the sum of its proper divisors (341742455925888).

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

202220001002112 is a wasteful number, since it uses less digits than its factorization.

202220001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199258 (or 199246 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202220001002112 its reverse (211200100022202), we get a palindrome (413420101024314).

The spelling of 202220001002112 in words is "two hundred two trillion, two hundred twenty billion, one million, two thousand, one hundred twelve".