10202212211202 has 128 divisors (see below), whose sum is σ = 24850806220800. Its totient is φ = 3076843492800.

The previous prime is 10202212211167. The next prime is 10202212211221. The reversal of 10202212211202 is 20211221220201.

It is a happy number.

10202212211202 is a `hidden beast` number, since 1 + 0 + 20 + 221 + 221 + 1 + 202 = 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 63 ways as a sum of consecutive naturals, for example, 104732323 + ... + 104829689.

It is an arithmetic number, because the mean of its divisors is an integer number (194146923600).

Almost surely, 2^{10202212211202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202212211202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425403110400).

10202212211202 is an abundant number, since it is smaller than the sum of its proper divisors (14648594009598).

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

10202212211202 is a wasteful number, since it uses less digits than its factorization.

10202212211202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98229 (or 98223 counting only the distinct ones).

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

Adding to 10202212211202 its reverse (20211221220201), we get a palindrome (30413433431403).

The spelling of 10202212211202 in words is "ten trillion, two hundred two billion, two hundred twelve million, two hundred eleven thousand, two hundred two".