10022111200081 has 2 divisors, whose sum is σ = 10022111200082. Its totient is φ = 10022111200080.

The previous prime is 10022111200069. The next prime is 10022111200103. The reversal of 10022111200081 is 18000211122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9658520289856 + 363590910225 = 3107816^2 + 602985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10022111200081 is a prime.

It is a super-2 number, since 2×10022111200081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10022111200481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011055600040 + 5011055600041.

It is an arithmetic number, because the mean of its divisors is an integer number (5011055600041).

Almost surely, 2^{10022111200081} is an apocalyptic number.

It is an amenable number.

10022111200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022111200081 is an equidigital number, since it uses as much as digits as its factorization.

10022111200081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 10022111200081 its reverse (18000211122001), we get a palindrome (28022322322082).

The spelling of 10022111200081 in words is "ten trillion, twenty-two billion, one hundred eleven million, two hundred thousand, eighty-one".