10222220202112 has 64 divisors (see below), whose sum is σ = 20496183594840. Its totient is φ = 5078086041600.

The previous prime is 10222220202107. The next prime is 10222220202119. The reversal of 10222220202112 is 21120202222201.

It can be written as a sum of positive squares in 4 ways, for example, as 8255875876416 + 1966344325696 = 2873304^2 + 1402264^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 10222220202112.

It is not an unprimeable number, because it can be changed into a prime (10222220202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339627448 + ... + 339657544.

Almost surely, 2^{10222220202112} 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 10222220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10248091797420).

10222220202112 is an abundant number, since it is smaller than the sum of its proper divisors (10273963392728).

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

10222220202112 is a wasteful number, since it uses less digits than its factorization.

10222220202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47169 (or 47157 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10222220202112 its reverse (21120202222201), we get a palindrome (31342422424313).

The spelling of 10222220202112 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty million, two hundred two thousand, one hundred twelve".