2102211262001 has 2 divisors, whose sum is σ = 2102211262002. Its totient is φ = 2102211262000.

The previous prime is 2102211261967. The next prime is 2102211262009. The reversal of 2102211262001 is 1002621122012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1835480330401 + 266730931600 = 1354799^2 + 516460^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102211262001 - 2³⁴ = 2085031392817 is a prime.

It is not a weakly prime, because it can be changed into another prime (2102211262009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051105631000 + 1051105631001.

It is an arithmetic number, because the mean of its divisors is an integer number (1051105631001).

Almost surely, 2^{2102211262001} is an apocalyptic number.

It is an amenable number.

2102211262001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102211262001 is an equidigital number, since it uses as much as digits as its factorization.

2102211262001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2102211262001 its reverse (1002621122012), we get a palindrome (3104832384013).

The spelling of 2102211262001 in words is "two trillion, one hundred two billion, two hundred eleven million, two hundred sixty-two thousand, one".