1012110221120 has 56 divisors (see below), whose sum is σ = 2551857328584. Its totient is φ = 381029728256.

The previous prime is 1012110221113. The next prime is 1012110221123. The reversal of 1012110221120 is 211220112101.

It can be written as a sum of positive squares in 4 ways, for example, as 81672494656 + 930437726464 = 285784^2 + 964592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1012110221095 and 1012110221104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012110221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93019397 + ... + 93030276.

Almost surely, 2^{1012110221120} is an apocalyptic number.

1012110221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012110221120 is an abundant number, since it is smaller than the sum of its proper divisors (1539747107464).

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

1012110221120 is a wasteful number, since it uses less digits than its factorization.

1012110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186049707 (or 186049697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1012110221120 its reverse (211220112101), we get a palindrome (1223330333221).

The spelling of 1012110221120 in words is "one trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".