100111011111121 has 2 divisors, whose sum is σ = 100111011111122. Its totient is φ = 100111011111120.

The previous prime is 100111011111103. The next prime is 100111011111191. The reversal of 100111011111121 is 121111110111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69673060067521 + 30437951043600 = 8347039^2 + 5517060^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011111121 - 2¹⁷ = 100111010980049 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111011111101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505555560 + 50055505555561.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505555561).

Almost surely, 2^{100111011111121} is an apocalyptic number.

It is an amenable number.

100111011111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011111121 is an equidigital number, since it uses as much as digits as its factorization.

100111011111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 100111011111121 its reverse (121111110111001), we get a palindrome (221222121222122).

The spelling of 100111011111121 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred twenty-one".