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123100355201 is a prime number
BaseRepresentation
bin111001010100101011…
…0100101101010000001
3102202202002000222021212
41302221112211222001
54004102142331301
6132315043455505
711615353516565
oct1625126455201
9382662028255
10123100355201
114822aa3994a
121ba36087595
13b7ba607c85
145d5add36a5
15330726e4bb
hex1ca95a5a81

123100355201 has 2 divisors, whose sum is σ = 123100355202. Its totient is φ = 123100355200.

The previous prime is 123100355179. The next prime is 123100355207. The reversal of 123100355201 is 102553001321.

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., 74081952400 + 49018402801 = 272180^2 + 221401^2 .

It is a cyclic number.

It is not a de Polignac number, because 123100355201 - 234 = 105920486017 is a prime.

It is a super-2 number, since 2×1231003552012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123100355207) 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, 61550177600 + 61550177601.

It is an arithmetic number, because the mean of its divisors is an integer number (61550177601).

Almost surely, 2123100355201 is an apocalyptic number.

It is an amenable number.

123100355201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123100355201 is an equidigital number, since it uses as much as digits as its factorization.

123100355201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 123100355201 its reverse (102553001321), we get a palindrome (225653356522).

The spelling of 123100355201 in words is "one hundred twenty-three billion, one hundred million, three hundred fifty-five thousand, two hundred one".