1012020211201 has 16 divisors (see below), whose sum is σ = 1025488414800. Its totient is φ = 998600537088.

The previous prime is 1012020211187. The next prime is 1012020211229. The reversal of 1012020211201 is 1021120202101.

It can be written as a sum of positive squares in 8 ways, for example, as 4905601600 + 1007114609601 = 70040^2 + 1003551^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012020211201 - 2⁷ = 1012020211073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012020211801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121970085 + ... + 121978381.

It is an arithmetic number, because the mean of its divisors is an integer number (64093025925).

Almost surely, 2^{1012020211201} is an apocalyptic number.

It is an amenable number.

1012020211201 is a deficient number, since it is larger than the sum of its proper divisors (13468203599).

1012020211201 is an equidigital number, since it uses as much as digits as its factorization.

1012020211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012020211201 its reverse (1021120202101), we get a palindrome (2033140413302).

It can be divided in two parts, 1012020 and 211201, that added together give a palindrome (1223221).

The spelling of 1012020211201 in words is "one trillion, twelve billion, twenty million, two hundred eleven thousand, two hundred one".