102011113000361 has 2 divisors, whose sum is σ = 102011113000362. Its totient is φ = 102011113000360.

The previous prime is 102011113000333. The next prime is 102011113000373. The reversal of 102011113000361 is 163000311110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75018879886336 + 26992233114025 = 8661344^2 + 5195405^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011113000361 - 2⁶ = 102011113000297 is a prime.

It is a super-2 number, since 2×102011113000361² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102011113000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005556500180 + 51005556500181.

It is an arithmetic number, because the mean of its divisors is an integer number (51005556500181).

Almost surely, 2^{102011113000361} is an apocalyptic number.

It is an amenable number.

102011113000361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011113000361 is an equidigital number, since it uses as much as digits as its factorization.

102011113000361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 102011113000361 its reverse (163000311110201), we get a palindrome (265011424110562).

The spelling of 102011113000361 in words is "one hundred two trillion, eleven billion, one hundred thirteen million, three hundred sixty-one", and thus it is an aban number.