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10100196901 is a prime number
BaseRepresentation
bin10010110100000010…
…01100011000100101
3222001220022011102201
421122001030120211
5131141122300101
64350122134501
7505202154124
oct113201143045
928056264381
1010100196901
114313330473
121b5a651431
13c4c69c792
146bb5a5abb
153e1aa0e01
hex25a04c625

10100196901 has 2 divisors, whose sum is σ = 10100196902. Its totient is φ = 10100196900.

The previous prime is 10100196851. The next prime is 10100196919. The reversal of 10100196901 is 10969100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8014904676 + 2085292225 = 89526^2 + 45665^2 .

It is an emirp because it is prime and its reverse (10969100101) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10696100101 and 10100169601.

It is a cyclic number.

It is not a de Polignac number, because 10100196901 - 29 = 10100196389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100196901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100191901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050098450 + 5050098451.

It is an arithmetic number, because the mean of its divisors is an integer number (5050098451).

Almost surely, 210100196901 is an apocalyptic number.

It is an amenable number.

10100196901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100196901 is an equidigital number, since it uses as much as digits as its factorization.

10100196901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 10100196901 in words is "ten billion, one hundred million, one hundred ninety-six thousand, nine hundred one".