10202112012222 has 384 divisors, whose sum is σ = 25041318801408. Its totient is φ = 2981833344000.

The previous prime is 10202112012163. The next prime is 10202112012307. The reversal of 10202112012222 is 22221021120201.

It is a happy number.

10202112012222 is a `hidden beast` number, since 10 + 20 + 211 + 201 + 2 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10202112012195 and 10202112012204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21846064033 + ... + 21846064499.

It is an arithmetic number, because the mean of its divisors is an integer number (65211767712).

Almost surely, 2^{10202112012222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202112012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520659400704).

10202112012222 is an abundant number, since it is smaller than the sum of its proper divisors (14839206789186).

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

10202112012222 is a wasteful number, since it uses less digits than its factorization.

10202112012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202112012222 its reverse (22221021120201), we get a palindrome (32423133132423).

The spelling of 10202112012222 in words is "ten trillion, two hundred two billion, one hundred twelve million, twelve thousand, two hundred twenty-two".