111090100010101 has 2 divisors, whose sum is σ = 111090100010102. Its totient is φ = 111090100010100.

The previous prime is 111090100010081. The next prime is 111090100010213. The reversal of 111090100010101 is 101010001090111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80969222924100 + 30120877086001 = 8998290^2 + 5488249^2 .

It is an emirp because it is prime and its reverse (101010001090111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111090100010101 - 2¹⁷ = 111090099879029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111090100070101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55545050005050 + 55545050005051.

It is an arithmetic number, because the mean of its divisors is an integer number (55545050005051).

Almost surely, 2^{111090100010101} is an apocalyptic number.

It is an amenable number.

111090100010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111090100010101 is an equidigital number, since it uses as much as digits as its factorization.

111090100010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 111090100010101 in words is "one hundred eleven trillion, ninety billion, one hundred million, ten thousand, one hundred one".