90110101 has 2 divisors, whose sum is σ = 90110102. Its totient is φ = 90110100.

The previous prime is 90110089. The next prime is 90110107. The reversal of 90110101 is 10101109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88341201 + 1768900 = 9399^2 + 1330^2 .

It is an emirp because it is prime and its reverse (10101109) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90110101 - 2²⁵ = 56555669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90110107) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45055050 + 45055051.

It is an arithmetic number, because the mean of its divisors is an integer number (45055051).

Almost surely, 2^90110101 is an apocalyptic number.

It is an amenable number.

90110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

90110101 is an equidigital number, since it uses as much as digits as its factorization.

90110101 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 13.

The square root of 90110101 is about 9492.6340390853. The cubic root of 90110101 is about 448.3231435736.

The spelling of 90110101 in words is "ninety million, one hundred ten thousand, one hundred one".