9901101101 has 2 divisors, whose sum is σ = 9901101102. Its totient is φ = 9901101100.

The previous prime is 9901101073. The next prime is 9901101127. The reversal of 9901101101 is 1011011099.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7651875625 + 2249225476 = 87475^2 + 47426^2 .

It is a cyclic number.

It is not a de Polignac number, because 9901101101 - 2⁶ = 9901101037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9901101131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4950550550 + 4950550551.

It is an arithmetic number, because the mean of its divisors is an integer number (4950550551).

Almost surely, 2^9901101101 is an apocalyptic number.

It is an amenable number.

9901101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9901101101 is an equidigital number, since it uses as much as digits as its factorization.

9901101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 23.

The square root of 9901101101 is about 99504.2767975327. The cubic root of 9901101101 is about 2147.3087726733.

It can be divided in two parts, 9901 and 101101, that multiplied together give a palindrome (1001001001).

The spelling of 9901101101 in words is "nine billion, nine hundred one million, one hundred one thousand, one hundred one".