10201222112202 has 144 divisors (see below), whose sum is σ = 25576868772000. Its totient is φ = 2928173181120.

The previous prime is 10201222112197. The next prime is 10201222112203. The reversal of 10201222112202 is 20221122210201.

It is a happy number.

10201222112202 is a `hidden beast` number, since 10 + 201 + 22 + 211 + 220 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10201222112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424525924 + ... + 424549952.

It is an arithmetic number, because the mean of its divisors is an integer number (177617144250).

Almost surely, 2^{10201222112202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201222112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788434386000).

10201222112202 is an abundant number, since it is smaller than the sum of its proper divisors (15375646659798).

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

10201222112202 is a wasteful number, since it uses less digits than its factorization.

10201222112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34337 (or 34323 counting only the distinct ones).

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

Adding to 10201222112202 its reverse (20221122210201), we get a palindrome (30422344322403).

The spelling of 10201222112202 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred two".