1020211012081 has 2 divisors, whose sum is σ = 1020211012082. Its totient is φ = 1020211012080.

The previous prime is 1020211012049. The next prime is 1020211012099. The reversal of 1020211012081 is 1802101120201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007212960000 + 12998052081 = 1003600^2 + 114009^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020211012081 - 2⁵ = 1020211012049 is a prime.

It is a super-2 number, since 2×1020211012081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1020211012021) 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 as a sum of consecutive naturals, namely, 510105506040 + 510105506041.

It is an arithmetic number, because the mean of its divisors is an integer number (510105506041).

Almost surely, 2^{1020211012081} is an apocalyptic number.

It is an amenable number.

1020211012081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020211012081 is an equidigital number, since it uses as much as digits as its factorization.

1020211012081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 1020211012081 its reverse (1802101120201), we get a palindrome (2822312132282).

The spelling of 1020211012081 in words is "one trillion, twenty billion, two hundred eleven million, twelve thousand, eighty-one".