10102222021122 has 96 divisors (see below), whose sum is σ = 27289797575040. Its totient is φ = 2623888546560.

The previous prime is 10102222021121. The next prime is 10102222021159. The reversal of 10102222021122 is 22112022220101.

It is a happy number.

It is a super-2 number, since 2×10102222021122² (a number of 27 digits) contains 22 as substring.

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 = 10102222021095 and 10102222021104.

It is not an unprimeable number, because it can be changed into a prime (10102222021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83505654 + ... + 83626542.

It is an arithmetic number, because the mean of its divisors is an integer number (284268724740).

Almost surely, 2^{10102222021122} is an apocalyptic number.

10102222021122 is an abundant number, since it is smaller than the sum of its proper divisors (17187575553918).

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

10102222021122 is a wasteful number, since it uses less digits than its factorization.

10102222021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181208 (or 181205 counting only the distinct ones).

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

Adding to 10102222021122 its reverse (22112022220101), we get a palindrome (32214244241223).

The spelling of 10102222021122 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty-two".