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100101012149 is a prime number
BaseRepresentation
bin101110100111001111…
…1000011101010110101
3100120101012201021212102
41131032133003222311
53120001324342044
6113552532031445
710142411364365
oct1351637035265
9316335637772
10100101012149
11394a8459016
1217497762585
139593718b48
144bb86369a5
15290d03e24e
hex174e7c3ab5

100101012149 has 2 divisors, whose sum is σ = 100101012150. Its totient is φ = 100101012148.

The previous prime is 100101012133. The next prime is 100101012169. The reversal of 100101012149 is 941210101001.

It is an a-pointer prime, because the next prime (100101012169) can be obtained adding 100101012149 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100074159025 + 26853124 = 316345^2 + 5182^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101012149 - 24 = 100101012133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101012149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101012169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050506074 + 50050506075.

It is an arithmetic number, because the mean of its divisors is an integer number (50050506075).

Almost surely, 2100101012149 is an apocalyptic number.

It is an amenable number.

100101012149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101012149 is an equidigital number, since it uses as much as digits as its factorization.

100101012149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 100101012149 in words is "one hundred billion, one hundred one million, twelve thousand, one hundred forty-nine".