1012120212001 has 2 divisors, whose sum is σ = 1012120212002. Its totient is φ = 1012120212000.

The previous prime is 1012120211981. The next prime is 1012120212023. The reversal of 1012120212001 is 1002120212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007612432401 + 4507779600 = 1003799^2 + 67140^2 .

It is an emirp because it is prime and its reverse (1002120212101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012120212001 - 2⁹ = 1012120211489 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012120210001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506060106000 + 506060106001.

It is an arithmetic number, because the mean of its divisors is an integer number (506060106001).

Almost surely, 2^{1012120212001} is an apocalyptic number.

It is an amenable number.

1012120212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012120212001 is an equidigital number, since it uses as much as digits as its factorization.

1012120212001 is an evil number, because the sum of its binary digits is even.

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

Adding to 1012120212001 its reverse (1002120212101), we get a palindrome (2014240424102).

The spelling of 1012120212001 in words is "one trillion, twelve billion, one hundred twenty million, two hundred twelve thousand, one".