10202121220122 has 128 divisors (see below), whose sum is σ = 24713614598400. Its totient is φ = 3100776360192.

The previous prime is 10202121220099. The next prime is 10202121220139. The reversal of 10202121220122 is 22102212120201.

It is a happy number.

10202121220122 is a `hidden beast` number, since 1 + 0 + 202 + 121 + 220 + 122 = 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 = 10202121220095 and 10202121220104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491113728 + ... + 491134500.

It is an arithmetic number, because the mean of its divisors is an integer number (193075114050).

Almost surely, 2^{10202121220122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202121220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356807299200).

10202121220122 is an abundant number, since it is smaller than the sum of its proper divisors (14511493378278).

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

10202121220122 is a wasteful number, since it uses less digits than its factorization.

10202121220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29309 (or 29303 counting only the distinct ones).

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

Adding to 10202121220122 its reverse (22102212120201), we get a palindrome (32304333340323).

The spelling of 10202121220122 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty-two".