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2120100401 is a prime number
BaseRepresentation
bin111111001011110…
…0010101000110001
312110202100021000002
41332113202220301
513320221203101
6550213035345
7103352361506
oct17627425061
95422307002
102120100401
119988178a1
124b2025b55
1327a307ba3
141617dd4ad
15c61d7d6b
hex7e5e2a31

2120100401 has 2 divisors, whose sum is σ = 2120100402. Its totient is φ = 2120100400.

The previous prime is 2120100391. The next prime is 2120100403. The reversal of 2120100401 is 1040010212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1796064400 + 324036001 = 42380^2 + 18001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120100401 is a prime.

Together with 2120100403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2120100403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060050200 + 1060050201.

It is an arithmetic number, because the mean of its divisors is an integer number (1060050201).

Almost surely, 22120100401 is an apocalyptic number.

It is an amenable number.

2120100401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120100401 is an equidigital number, since it uses as much as digits as its factorization.

2120100401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2120100401 is about 46044.5480051656. The cubic root of 2120100401 is about 1284.6519369997.

Adding to 2120100401 its reverse (1040010212), we get a palindrome (3160110613).

The spelling of 2120100401 in words is "two billion, one hundred twenty million, one hundred thousand, four hundred one".