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100120132001 is a prime number
BaseRepresentation
bin101110100111110011…
…1111111100110100001
3100120102112200200101002
41131033213333212201
53120021223211001
6113554453521345
710143033036401
oct1351747774641
9316375620332
10100120132001
113950822804a
12174a2043255
139597681776
144bbadb2801
15290ea6946b
hex174f9ff9a1

100120132001 has 2 divisors, whose sum is σ = 100120132002. Its totient is φ = 100120132000.

The previous prime is 100120131983. The next prime is 100120132019. The reversal of 100120132001 is 100231021001.

It is a balanced prime because it is at equal distance from previous prime (100120131983) and next prime (100120132019).

It can be written as a sum of positive squares in only one way, i.e., 50827251601 + 49292880400 = 225449^2 + 222020^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120132001 - 222 = 100115937697 is a prime.

It is not a weakly prime, because it can be changed into another prime (100120135001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060066000 + 50060066001.

It is an arithmetic number, because the mean of its divisors is an integer number (50060066001).

Almost surely, 2100120132001 is an apocalyptic number.

It is an amenable number.

100120132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120132001 is an equidigital number, since it uses as much as digits as its factorization.

100120132001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100120132001 its reverse (100231021001), we get a palindrome (200351153002).

The spelling of 100120132001 in words is "one hundred billion, one hundred twenty million, one hundred thirty-two thousand, one".