1000201121201 has 2 divisors, whose sum is σ = 1000201121202. Its totient is φ = 1000201121200.

The previous prime is 1000201121147. The next prime is 1000201121261. The reversal of 1000201121201 is 1021211020001.

1000201121201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 980399002801 + 19802118400 = 990151^2 + 140720^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000201121201 - 2³⁰ = 999127379377 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000201121261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500100560600 + 500100560601.

It is an arithmetic number, because the mean of its divisors is an integer number (500100560601).

Almost surely, 2^{1000201121201} is an apocalyptic number.

It is an amenable number.

1000201121201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000201121201 is an equidigital number, since it uses as much as digits as its factorization.

1000201121201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000201121201 its reverse (1021211020001), we get a palindrome (2021412141202).

It can be divided in two parts, 100020 and 1121201, that added together give a palindrome (1221221).

The spelling of 1000201121201 in words is "one trillion, two hundred one million, one hundred twenty-one thousand, two hundred one".