1022121212201 has 2 divisors, whose sum is σ = 1022121212202. Its totient is φ = 1022121212200.

The previous prime is 1022121212197. The next prime is 1022121212209.

1022121212201 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 940610962201 + 81510250000 = 969851^2 + 285500^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1022121212201 - 2² = 1022121212197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1022121212201.

It is not a weakly prime, because it can be changed into another prime (1022121212209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511060606100 + 511060606101.

It is an arithmetic number, because the mean of its divisors is an integer number (511060606101).

Almost surely, 2^{1022121212201} is an apocalyptic number.

It is an amenable number.

1022121212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022121212201 is an equidigital number, since it uses as much as digits as its factorization.

1022121212201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 1022121212201 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, two hundred one".