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2120412101 is a prime number
BaseRepresentation
bin111111001100010…
…1110101111000101
312110202221002120112
41332120232233011
513320311141401
6550223442405
7103355130323
oct17630565705
95422832515
102120412101
11998a0aaa5
124b2156405
1327a3b6a22
14161880d13
15c624a3bb
hex7e62ebc5

2120412101 has 2 divisors, whose sum is σ = 2120412102. Its totient is φ = 2120412100.

The previous prime is 2120412043. The next prime is 2120412127. The reversal of 2120412101 is 1012140212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1151584225 + 968827876 = 33935^2 + 31126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120412101 is a prime.

It is a super-2 number, since 2×21204121012 = 8992294956134468402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120412131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060206050 + 1060206051.

It is an arithmetic number, because the mean of its divisors is an integer number (1060206051).

Almost surely, 22120412101 is an apocalyptic number.

It is an amenable number.

2120412101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120412101 is an equidigital number, since it uses as much as digits as its factorization.

2120412101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2120412101 is about 46047.9326463197. The cubic root of 2120412101 is about 1284.7148909973.

Adding to 2120412101 its reverse (1012140212), we get a palindrome (3132552313).

The spelling of 2120412101 in words is "two billion, one hundred twenty million, four hundred twelve thousand, one hundred one".