20212113310001 has 2 divisors, whose sum is σ = 20212113310002. Its totient is φ = 20212113310000.

The previous prime is 20212113309989. The next prime is 20212113310009. The reversal of 20212113310001 is 10001331121202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14346489480976 + 5865623829025 = 3787676^2 + 2421905^2 .

It is a cyclic number.

It is not a de Polignac number, because 20212113310001 - 2¹⁸ = 20212113047857 is a prime.

It is not a weakly prime, because it can be changed into another prime (20212113310009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10106056655000 + 10106056655001.

It is an arithmetic number, because the mean of its divisors is an integer number (10106056655001).

Almost surely, 2^{20212113310001} is an apocalyptic number.

It is an amenable number.

20212113310001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20212113310001 is an equidigital number, since it uses as much as digits as its factorization.

20212113310001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20212113310001 its reverse (10001331121202), we get a palindrome (30213444431203).

The spelling of 20212113310001 in words is "twenty trillion, two hundred twelve billion, one hundred thirteen million, three hundred ten thousand, one".