20011002012121 has 2 divisors, whose sum is σ = 20011002012122. Its totient is φ = 20011002012120.

The previous prime is 20011002012101. The next prime is 20011002012139. The reversal of 20011002012121 is 12121020011002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11961360590400 + 8049641421721 = 3458520^2 + 2837189^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011002012121 - 2⁴¹ = 17811978756569 is a prime.

It is a super-2 number, since 2×20011002012121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20011002012101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005501006060 + 10005501006061.

It is an arithmetic number, because the mean of its divisors is an integer number (10005501006061).

Almost surely, 2^{20011002012121} is an apocalyptic number.

It is an amenable number.

20011002012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011002012121 is an equidigital number, since it uses as much as digits as its factorization.

20011002012121 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 20011002012121 its reverse (12121020011002), we get a palindrome (32132022023123).

The spelling of 20011002012121 in words is "twenty trillion, eleven billion, two million, twelve thousand, one hundred twenty-one".