1020121021122 has 128 divisors (see below), whose sum is σ = 2378435788800. Its totient is φ = 285681404736.

The previous prime is 1020121021109. The next prime is 1020121021151. The reversal of 1020121021122 is 2211201210201.

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, 488796763 + ... + 488798849.

It is an arithmetic number, because the mean of its divisors is an integer number (18581529600).

Almost surely, 2^{1020121021122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020121021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189217894400).

1020121021122 is an abundant number, since it is smaller than the sum of its proper divisors (1358314767678).

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

1020121021122 is a wasteful number, since it uses less digits than its factorization.

1020121021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1020121021122 its reverse (2211201210201), we get a palindrome (3231322231323).

The spelling of 1020121021122 in words is "one trillion, twenty billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-two".