10100102200081 has 2 divisors, whose sum is σ = 10100102200082. Its totient is φ = 10100102200080.

The previous prime is 10100102200039. The next prime is 10100102200157. The reversal of 10100102200081 is 18000220100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8115610161681 + 1984492038400 = 2848791^2 + 1408720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100102200081 - 2¹¹ = 10100102198033 is a prime.

It is a super-2 number, since 2×10100102200081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100102200021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050051100040 + 5050051100041.

It is an arithmetic number, because the mean of its divisors is an integer number (5050051100041).

Almost surely, 2^{10100102200081} is an apocalyptic number.

It is an amenable number.

10100102200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100102200081 is an equidigital number, since it uses as much as digits as its factorization.

10100102200081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10100102200081 its reverse (18000220100101), we get a palindrome (28100322300182).

The spelling of 10100102200081 in words is "ten trillion, one hundred billion, one hundred two million, two hundred thousand, eighty-one".