102200010211081 has 2 divisors, whose sum is σ = 102200010211082. Its totient is φ = 102200010211080.

The previous prime is 102200010211001. The next prime is 102200010211139. The reversal of 102200010211081 is 180112010002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101886494205456 + 313516005625 = 10093884^2 + 559925^2 .

It is an emirp because it is prime and its reverse (180112010002201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102200010211081 - 2¹⁵ = 102200010178313 is a prime.

It is a super-3 number, since 3×102200010211081³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102200010211001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100005105540 + 51100005105541.

It is an arithmetic number, because the mean of its divisors is an integer number (51100005105541).

Almost surely, 2^{102200010211081} is an apocalyptic number.

It is an amenable number.

102200010211081 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200010211081 is an equidigital number, since it uses as much as digits as its factorization.

102200010211081 is an evil number, because the sum of its binary digits is even.

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

Adding to 102200010211081 its reverse (180112010002201), we get a palindrome (282312020213282).

The spelling of 102200010211081 in words is "one hundred two trillion, two hundred billion, ten million, two hundred eleven thousand, eighty-one".