100102020202081 has 2 divisors, whose sum is σ = 100102020202082. Its totient is φ = 100102020202080.

The previous prime is 100102020201979. The next prime is 100102020202097. The reversal of 100102020202081 is 180202020201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88333381205056 + 11768638997025 = 9398584^2 + 3430545^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102020202081 - 2⁹ = 100102020201569 is a prime.

It is a super-2 number, since 2×100102020202081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100102020202381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051010101040 + 50051010101041.

It is an arithmetic number, because the mean of its divisors is an integer number (50051010101041).

Almost surely, 2^{100102020202081} is an apocalyptic number.

It is an amenable number.

100102020202081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102020202081 is an equidigital number, since it uses as much as digits as its factorization.

100102020202081 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 19.

Adding to 100102020202081 its reverse (180202020201001), we get a palindrome (280304040403082).

The spelling of 100102020202081 in words is "one hundred trillion, one hundred two billion, twenty million, two hundred two thousand, eighty-one".