1013122021201 has 16 divisors (see below), whose sum is σ = 1024727563728. Its totient is φ = 1001548800000.

The previous prime is 1013122021133. The next prime is 1013122021207. The reversal of 1013122021201 is 1021202213101.

It can be written as a sum of positive squares in 8 ways, for example, as 198523713600 + 814598307601 = 445560^2 + 902551^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013122021201 - 2¹⁵ = 1013121988433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013122021207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 253215201 + ... + 253219201.

It is an arithmetic number, because the mean of its divisors is an integer number (64045472733).

Almost surely, 2^{1013122021201} is an apocalyptic number.

It is an amenable number.

1013122021201 is a deficient number, since it is larger than the sum of its proper divisors (11605542527).

1013122021201 is a wasteful number, since it uses less digits than its factorization.

1013122021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1013122021201 its reverse (1021202213101), we get a palindrome (2034324234302).

The spelling of 1013122021201 in words is "one trillion, thirteen billion, one hundred twenty-two million, twenty-one thousand, two hundred one".