1012120221001 has 2 divisors, whose sum is σ = 1012120221002. Its totient is φ = 1012120221000.

The previous prime is 1012120220983. The next prime is 1012120221017. The reversal of 1012120221001 is 1001220212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 882735411600 + 129384809401 = 939540^2 + 359701^2 .

It is an emirp because it is prime and its reverse (1001220212101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012120221001 is a prime.

It is a super-2 number, since 2×1012120221001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1012120221401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506060110500 + 506060110501.

It is an arithmetic number, because the mean of its divisors is an integer number (506060110501).

Almost surely, 2^{1012120221001} is an apocalyptic number.

It is an amenable number.

1012120221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012120221001 is an equidigital number, since it uses as much as digits as its factorization.

1012120221001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1012120221001 its reverse (1001220212101), we get a palindrome (2013340433102).

The spelling of 1012120221001 in words is "one trillion, twelve billion, one hundred twenty million, two hundred twenty-one thousand, one".