2222100200081 has 2 divisors, whose sum is σ = 2222100200082. Its totient is φ = 2222100200080.

The previous prime is 2222100200053. The next prime is 2222100200083. The reversal of 2222100200081 is 1800020012222.

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., 2192487297025 + 29612903056 = 1480705^2 + 172084^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222100200081 - 2¹⁰ = 2222100199057 is a prime.

It is a super-2 number, since 2×2222100200081² (a number of 25 digits) contains 22 as substring.

Together with 2222100200083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2222100200083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111050100040 + 1111050100041.

It is an arithmetic number, because the mean of its divisors is an integer number (1111050100041).

Almost surely, 2^{2222100200081} is an apocalyptic number.

It is an amenable number.

2222100200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222100200081 is an equidigital number, since it uses as much as digits as its factorization.

2222100200081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 2222100200081 in words is "two trillion, two hundred twenty-two billion, one hundred million, two hundred thousand, eighty-one".