90011101110101 has 2 divisors, whose sum is σ = 90011101110102. Its totient is φ = 90011101110100.

The previous prime is 90011101110071. The next prime is 90011101110113. The reversal of 90011101110101 is 10101110111009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79940944540900 + 10070156569201 = 8940970^2 + 3173351^2 .

It is a cyclic number.

It is not a de Polignac number, because 90011101110101 - 2¹⁰ = 90011101109077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90011101110101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90011101110121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45005550555050 + 45005550555051.

It is an arithmetic number, because the mean of its divisors is an integer number (45005550555051).

Almost surely, 2^{90011101110101} is an apocalyptic number.

It is an amenable number.

90011101110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

90011101110101 is an equidigital number, since it uses as much as digits as its factorization.

90011101110101 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 17.

The spelling of 90011101110101 in words is "ninety trillion, eleven billion, one hundred one million, one hundred ten thousand, one hundred one".