10022222122020 has 36 divisors (see below), whose sum is σ = 30400740437340. Its totient is φ = 2672592565824.

The previous prime is 10022222122007. The next prime is 10022222122027. The reversal of 10022222122020 is 2022122222001.

10022222122020 is a `hidden beast` number, since 1 + 0 + 0 + 222 + 221 + 220 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6556190976036 + 3466031145984 = 2560506^2 + 1861728^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10022222121984 and 10022222122002.

It is not an unprimeable number, because it can be changed into a prime (10022222122027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27839505715 + ... + 27839506074.

Almost surely, 2^{10022222122020} is an apocalyptic number.

10022222122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022222122020 is an abundant number, since it is smaller than the sum of its proper divisors (20378518315320).

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

10022222122020 is a wasteful number, since it uses less digits than its factorization.

10022222122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55679011804 (or 55679011799 counting only the distinct ones).

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

Adding to 10022222122020 its reverse (2022122222001), we get a palindrome (12044344344021).

The spelling of 10022222122020 in words is "ten trillion, twenty-two billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty".