1021122122020 has 576 divisors, whose sum is σ = 3116151440640. Its totient is φ = 275498496000.

The previous prime is 1021122122017. The next prime is 1021122122057. The reversal of 1021122122020 is 202212211201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1021122121985 and 1021122122003.

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 191 ways as a sum of consecutive naturals, for example, 268926762 + ... + 268930558.

It is an arithmetic number, because the mean of its divisors is an integer number (5409985140).

Almost surely, 2^{1021122122020} is an apocalyptic number.

1021122122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021122122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558075720320).

1021122122020 is an abundant number, since it is smaller than the sum of its proper divisors (2095029318620).

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

1021122122020 is a wasteful number, since it uses less digits than its factorization.

1021122122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1021122122020 its reverse (202212211201), we get a palindrome (1223334333221).

The spelling of 1021122122020 in words is "one trillion, twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty".