2111211210001 has 2 divisors, whose sum is σ = 2111211210002. Its totient is φ = 2111211210000.

The previous prime is 2111211209977. The next prime is 2111211210007. The reversal of 2111211210001 is 1000121121112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1693248960001 + 417962250000 = 1301249^2 + 646500^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111211210001 - 2¹⁵ = 2111211177233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2111211210007) 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, 1055605605000 + 1055605605001.

It is an arithmetic number, because the mean of its divisors is an integer number (1055605605001).

Almost surely, 2^{2111211210001} is an apocalyptic number.

It is an amenable number.

2111211210001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2111211210001 is an equidigital number, since it uses as much as digits as its factorization.

2111211210001 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 13.

Adding to 2111211210001 its reverse (1000121121112), we get a palindrome (3111332331113).

It can be divided in two parts, 2111 and 211210001, that added together give a palindrome (211212112).

The spelling of 2111211210001 in words is "two trillion, one hundred eleven billion, two hundred eleven million, two hundred ten thousand, one".