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10010100109981 is a prime number
BaseRepresentation
bin1001000110101010100001…
…1101100001001010011101
31022102221211002101000000211
42101222220131201022131
52303001141112004411
633142324305252421
72052130420020136
oct221525035411235
938387732330024
1010010100109981
11320a294605154
121158036334111
13577c437c756a
142686c46b0c8d
151255bb9c8221
hex91aa876129d

10010100109981 has 2 divisors, whose sum is σ = 10010100109982. Its totient is φ = 10010100109980.

The previous prime is 10010100109949. The next prime is 10010100110033. The reversal of 10010100109981 is 18990100101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6421003960900 + 3589096149081 = 2533970^2 + 1894491^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 18660100101001 and 10010100106681.

It is a cyclic number.

It is not a de Polignac number, because 10010100109981 - 25 = 10010100109949 is a prime.

It is a super-2 number, since 2×100101001099812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010100109931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050054990 + 5005050054991.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050054991).

Almost surely, 210010100109981 is an apocalyptic number.

It is an amenable number.

10010100109981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100109981 is an equidigital number, since it uses as much as digits as its factorization.

10010100109981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 31.

The spelling of 10010100109981 in words is "ten trillion, ten billion, one hundred million, one hundred nine thousand, nine hundred eighty-one".