99009000090101 has 2 divisors, whose sum is σ = 99009000090102. Its totient is φ = 99009000090100.

The previous prime is 99009000090037. The next prime is 99009000090139. The reversal of 99009000090101 is 10109000090099.

It is a happy number.

It is an a-pointer prime, because the next prime (99009000090139) can be obtained adding 99009000090101 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91761570759076 + 7247429331025 = 9579226^2 + 2692105^2 .

It is a cyclic number.

It is not a de Polignac number, because 99009000090101 - 2⁶ = 99009000090037 is a prime.

It is a super-2 number, since 2×99009000090101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (99009000090701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49504500045050 + 49504500045051.

It is an arithmetic number, because the mean of its divisors is an integer number (49504500045051).

Almost surely, 2^{99009000090101} is an apocalyptic number.

It is an amenable number.

99009000090101 is a deficient number, since it is larger than the sum of its proper divisors (1).

99009000090101 is an equidigital number, since it uses as much as digits as its factorization.

99009000090101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 38.

The spelling of 99009000090101 in words is "ninety-nine trillion, nine billion, ninety thousand, one hundred one".