100111121210977 has 2 divisors, whose sum is σ = 100111121210978. Its totient is φ = 100111121210976.

The previous prime is 100111121210911. The next prime is 100111121211029. The reversal of 100111121210977 is 779012121111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98601702565921 + 1509418645056 = 9929839^2 + 1228584^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111121210977 - 2¹¹ = 100111121208929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111121210077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055560605488 + 50055560605489.

It is an arithmetic number, because the mean of its divisors is an integer number (50055560605489).

Almost surely, 2^{100111121210977} is an apocalyptic number.

It is an amenable number.

100111121210977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111121210977 is an equidigital number, since it uses as much as digits as its factorization.

100111121210977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1764, while the sum is 34.

Adding to 100111121210977 its reverse (779012121111001), we get a palindrome (879123242321978).

The spelling of 100111121210977 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-one million, two hundred ten thousand, nine hundred seventy-seven".