90110111001101 has 2 divisors, whose sum is σ = 90110111001102. Its totient is φ = 90110111001100.

The previous prime is 90110111001061. The next prime is 90110111001133. The reversal of 90110111001101 is 10110011101109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81554427501001 + 8555683500100 = 9030749^2 + 2925010^2 .

It is an emirp because it is prime and its reverse (10110011101109) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90110111001101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90110111001101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90110111001151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45055055500550 + 45055055500551.

It is an arithmetic number, because the mean of its divisors is an integer number (45055055500551).

Almost surely, 2^{90110111001101} is an apocalyptic number.

It is an amenable number.

90110111001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

90110111001101 is an equidigital number, since it uses as much as digits as its factorization.

90110111001101 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 90110111001101 in words is "ninety trillion, one hundred ten billion, one hundred eleven million, one thousand, one hundred one".