10202202212202 has 288 divisors, whose sum is σ = 29969111652480. Its totient is φ = 2440754553600.

The previous prime is 10202202212171. The next prime is 10202202212219. The reversal of 10202202212202 is 20221220220201.

10202202212202 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 220 + 221 + 220 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91313449 + ... + 91425107.

It is an arithmetic number, because the mean of its divisors is an integer number (104059415460).

Almost surely, 2^{10202202212202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202202212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984555826240).

10202202212202 is an abundant number, since it is smaller than the sum of its proper divisors (19766909440278).

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

10202202212202 is a wasteful number, since it uses less digits than its factorization.

10202202212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112170 (or 112156 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10202202212202 its reverse (20221220220201), we get a palindrome (30423422432403).

The spelling of 10202202212202 in words is "ten trillion, two hundred two billion, two hundred two million, two hundred twelve thousand, two hundred two".