10202121102222 has 96 divisors (see below), whose sum is σ = 25549461010944. Its totient is φ = 2881852344000.

The previous prime is 10202121102211. The next prime is 10202121102247. The reversal of 10202121102222 is 22220112120201.

It is a happy number.

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 = 10202121102195 and 10202121102204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8213583 + ... + 9373749.

It is an arithmetic number, because the mean of its divisors is an integer number (266140218864).

Almost surely, 2^{10202121102222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202121102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12774730505472).

10202121102222 is an abundant number, since it is smaller than the sum of its proper divisors (15347339908722).

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

10202121102222 is a wasteful number, since it uses less digits than its factorization.

10202121102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160974 (or 1160971 counting only the distinct ones).

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

Adding to 10202121102222 its reverse (22220112120201), we get a palindrome (32422233222423).

The spelling of 10202121102222 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty-two".