2102221010081 has 2 divisors, whose sum is σ = 2102221010082. Its totient is φ = 2102221010080.

The previous prime is 2102221010051. The next prime is 2102221010179. The reversal of 2102221010081 is 1800101222012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1103802384400 + 998418625681 = 1050620^2 + 999209^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102221010081 - 2²⁶ = 2102153901217 is a prime.

It is a super-2 number, since 2×2102221010081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2102221010041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051110505040 + 1051110505041.

It is an arithmetic number, because the mean of its divisors is an integer number (1051110505041).

Almost surely, 2^{2102221010081} is an apocalyptic number.

It is an amenable number.

2102221010081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102221010081 is an equidigital number, since it uses as much as digits as its factorization.

2102221010081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 2102221010081 its reverse (1800101222012), we get a palindrome (3902322232093).

The spelling of 2102221010081 in words is "two trillion, one hundred two billion, two hundred twenty-one million, ten thousand, eighty-one".