2210102010001 has 2 divisors, whose sum is σ = 2210102010002. Its totient is φ = 2210102010000.

The previous prime is 2210102009977. The next prime is 2210102010023. The reversal of 2210102010001 is 1000102010122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1944284429376 + 265817580625 = 1394376^2 + 515575^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210102010001 - 2¹⁵ = 2210101977233 is a prime.

It is a super-2 number, since 2×2210102010001² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2210102010001.

It is not a weakly prime, because it can be changed into another prime (2210102010071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105051005000 + 1105051005001.

It is an arithmetic number, because the mean of its divisors is an integer number (1105051005001).

Almost surely, 2^{2210102010001} is an apocalyptic number.

It is an amenable number.

2210102010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210102010001 is an equidigital number, since it uses as much as digits as its factorization.

2210102010001 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 10.

Adding to 2210102010001 its reverse (1000102010122), we get a palindrome (3210204020123).

The spelling of 2210102010001 in words is "two trillion, two hundred ten billion, one hundred two million, ten thousand, one".