20100120121001 has 2 divisors, whose sum is σ = 20100120121002. Its totient is φ = 20100120121000.

The previous prime is 20100120120907. The next prime is 20100120121021. The reversal of 20100120121001 is 10012102100102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13924278825625 + 6175841295376 = 3731525^2 + 2485124^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100120121001 - 2¹⁰ = 20100120119977 is a prime.

It is not a weakly prime, because it can be changed into another prime (20100120121021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050060060500 + 10050060060501.

It is an arithmetic number, because the mean of its divisors is an integer number (10050060060501).

Almost surely, 2^{20100120121001} is an apocalyptic number.

It is an amenable number.

20100120121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100120121001 is an equidigital number, since it uses as much as digits as its factorization.

20100120121001 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 20100120121001 its reverse (10012102100102), we get a palindrome (30112222221103).

The spelling of 20100120121001 in words is "twenty trillion, one hundred billion, one hundred twenty million, one hundred twenty-one thousand, one".