20102010121001 has 2 divisors, whose sum is σ = 20102010121002. Its totient is φ = 20102010121000.

The previous prime is 20102010120949. The next prime is 20102010121027. The reversal of 20102010121001 is 10012101020102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19707562062400 + 394448058601 = 4439320^2 + 628051^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20102010121001 is a prime.

It is a super-2 number, since 2×20102010121001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20102010121031) 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, 10051005060500 + 10051005060501.

It is an arithmetic number, because the mean of its divisors is an integer number (10051005060501).

Almost surely, 2^{20102010121001} is an apocalyptic number.

It is an amenable number.

20102010121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102010121001 is an equidigital number, since it uses as much as digits as its factorization.

20102010121001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20102010121001 its reverse (10012101020102), we get a palindrome (30114111141103).

The spelling of 20102010121001 in words is "twenty trillion, one hundred two billion, ten million, one hundred twenty-one thousand, one".