1012330332101 has 24 divisors (see below), whose sum is σ = 1116478802712. Its totient is φ = 917199360000.

The previous prime is 1012330331983. The next prime is 1012330332121.

1012330332101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 46530804100 + 965799528001 = 215710^2 + 982751^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1012330332101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012330332121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184023851 + ... + 184029351.

It is an arithmetic number, because the mean of its divisors is an integer number (46519950113).

Almost surely, 2^{1012330332101} is an apocalyptic number.

1012330332101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012330332101 is a deficient number, since it is larger than the sum of its proper divisors (104148470611).

1012330332101 is a wasteful number, since it uses less digits than its factorization.

1012330332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1012330 and 332101, that added together give a palindrome (1344431).

The spelling of 1012330332101 in words is "one trillion, twelve billion, three hundred thirty million, three hundred thirty-two thousand, one hundred one".