1020121202120 has 32 divisors (see below), whose sum is σ = 2295536078520. Its totient is φ = 408001658880.

The previous prime is 1020121202117. The next prime is 1020121202207. The reversal of 1020121202120 is 212021210201.

It can be written as a sum of positive squares in 4 ways, for example, as 919255253284 + 100865948836 = 958778^2 + 317594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020121202095 and 1020121202104.

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 7 ways as a sum of consecutive naturals, for example, 1109177 + ... + 1808456.

Almost surely, 2^{1020121202120} is an apocalyptic number.

1020121202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121202120 is an abundant number, since it is smaller than the sum of its proper divisors (1275414876400).

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

1020121202120 is a wasteful number, since it uses less digits than its factorization.

1020121202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926385 (or 2926381 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020121202120 its reverse (212021210201), we get a palindrome (1232142412321).

The spelling of 1020121202120 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".