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101099210701 is a prime number
BaseRepresentation
bin101111000100111111…
…0111000011111001101
3100122221210000000212011
41132021332320133031
53124022344220301
6114235550541221
710206222053266
oct1361176703715
9318853000764
10101099210701
113996a9613a5
1217715b07811
1396c2475088
144c7103596d
15296a9b6a51
hex1789fb87cd

101099210701 has 2 divisors, whose sum is σ = 101099210702. Its totient is φ = 101099210700.

The previous prime is 101099210699. The next prime is 101099210717. The reversal of 101099210701 is 107012990101.

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., 98579672676 + 2519538025 = 313974^2 + 50195^2 .

It is an emirp because it is prime and its reverse (107012990101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101099210701 - 21 = 101099210699 is a prime.

It is a super-2 number, since 2×1010992107012 (a number of 23 digits) contains 22 as substring.

Together with 101099210699, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101099210741) 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, 50549605350 + 50549605351.

It is an arithmetic number, because the mean of its divisors is an integer number (50549605351).

Almost surely, 2101099210701 is an apocalyptic number.

It is an amenable number.

101099210701 is a deficient number, since it is larger than the sum of its proper divisors (1).

101099210701 is an equidigital number, since it uses as much as digits as its factorization.

101099210701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 31.

The spelling of 101099210701 in words is "one hundred one billion, ninety-nine million, two hundred ten thousand, seven hundred one".