100111100011361 has 2 divisors, whose sum is σ = 100111100011362. Its totient is φ = 100111100011360.

The previous prime is 100111100011301. The next prime is 100111100011369. The reversal of 100111100011361 is 163110001111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52855168264336 + 47255931747025 = 7270156^2 + 6874295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111100011361 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111100011369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550005680 + 50055550005681.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550005681).

Almost surely, 2^{100111100011361} is an apocalyptic number.

It is an amenable number.

100111100011361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100011361 is an equidigital number, since it uses as much as digits as its factorization.

100111100011361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 100111100011361 its reverse (163110001111001), we get a palindrome (263221101122362).

The spelling of 100111100011361 in words is "one hundred trillion, one hundred eleven billion, one hundred million, eleven thousand, three hundred sixty-one".