9999900101 has 2 divisors, whose sum is σ = 9999900102. Its totient is φ = 9999900100.

The previous prime is 9999900077. The next prime is 9999900103. The reversal of 9999900101 is 1010099999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8030848225 + 1969051876 = 89615^2 + 44374^2 .

It is a cyclic number.

It is not a de Polignac number, because 9999900101 - 2²⁶ = 9932791237 is a prime.

Together with 9999900103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9999900103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4999950050 + 4999950051.

It is an arithmetic number, because the mean of its divisors is an integer number (4999950051).

Almost surely, 2^9999900101 is an apocalyptic number.

It is an amenable number.

9999900101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9999900101 is an equidigital number, since it uses as much as digits as its factorization.

9999900101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 47.

The square root of 9999900101 is about 99999.5005037525. The cubic root of 9999900101 is about 2154.4275158123.

It can be divided in two parts, 9999900 and 101, that added together give a palindrome (10000001).

The spelling of 9999900101 in words is "nine billion, nine hundred ninety-nine million, nine hundred thousand, one hundred one".