10222022122020 has 36 divisors (see below), whose sum is σ = 31006800437340. Its totient is φ = 2725872565824.

The previous prime is 10222022122019. The next prime is 10222022122027. The reversal of 10222022122020 is 2022122022201.

10222022122020 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 221 + 220 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2837661535296 + 7384360586724 = 1684536^2 + 2717418^2 .

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 = 10222022121984 and 10222022122002.

It is not an unprimeable number, because it can be changed into a prime (10222022122027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28394505715 + ... + 28394506074.

Almost surely, 2^{10222022122020} is an apocalyptic number.

10222022122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222022122020 is an abundant number, since it is smaller than the sum of its proper divisors (20784778315320).

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

10222022122020 is a wasteful number, since it uses less digits than its factorization.

10222022122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56789011804 (or 56789011799 counting only the distinct ones).

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

Adding to 10222022122020 its reverse (2022122022201), we get a palindrome (12244144144221).

The spelling of 10222022122020 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, twenty".