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9901110101 is a prime number
BaseRepresentation
bin10010011100010011…
…01111001101010101
3221120000200111200112
421032021233031111
5130234141010401
64314251052405
7500234022131
oct111611571525
927500614615
109901110101
114220a11623
121b03a41105
13c1a37503c
1469cd803c1
153ce3773bb
hex24e26f355

9901110101 has 2 divisors, whose sum is σ = 9901110102. Its totient is φ = 9901110100.

The previous prime is 9901110091. The next prime is 9901110113. The reversal of 9901110101 is 1010111099.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7556129476 + 2344980625 = 86926^2 + 48425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9901110101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9901110701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4950555050 + 4950555051.

It is an arithmetic number, because the mean of its divisors is an integer number (4950555051).

Almost surely, 29901110101 is an apocalyptic number.

It is an amenable number.

9901110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9901110101 is an equidigital number, since it uses as much as digits as its factorization.

9901110101 is an evil number, because the sum of its binary digits is even.

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

The square root of 9901110101 is about 99504.3220217092. The cubic root of 9901110101 is about 2147.3094233004.

The spelling of 9901110101 in words is "nine billion, nine hundred one million, one hundred ten thousand, one hundred one".